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Finding the Fourth Proportional to 1,883.40, 2,600.07 and 1,462.81

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Solution

The fourth proportional to 1,883.40, 2,600.07 and 1,462.81 is: 2,019.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.40 : 2,600.07 = 1,462.81 : x
  2. Step 2: Convert to fraction form
    1,883.40/2,600.07 = 1,462.81/x
  3. Step 3: Cross multiply
    1,883.40x = 2,600.07 × 1,462.81
  4. Step 4: Simplify right side
    1,883.40x = 3,803,408.40
  5. Step 5: Solve for x
    x = 3,803,408.40/1,883.40
  6. Step 6: Final answer
    x = 2,019.44

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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.