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Finding the Fourth Proportional to 2,471.01, 3,409.52 and 1,408.76

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Solution

The fourth proportional to 2,471.01, 3,409.52 and 1,408.76 is: 1,943.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471.01 : 3,409.52 = 1,408.76 : x
  2. Step 2: Convert to fraction form
    2,471.01/3,409.52 = 1,408.76/x
  3. Step 3: Cross multiply
    2,471.01x = 3,409.52 × 1,408.76
  4. Step 4: Simplify right side
    2,471.01x = 4,803,195.40
  5. Step 5: Solve for x
    x = 4,803,195.40/2,471.01
  6. Step 6: Final answer
    x = 1,943.82

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.