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Finding the Fourth Proportional to 2,470.01, 3,408.14 and 1,407.76

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Solution

The fourth proportional to 2,470.01, 3,408.14 and 1,407.76 is: 1,942.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.01 : 3,408.14 = 1,407.76 : x
  2. Step 2: Convert to fraction form
    2,470.01/3,408.14 = 1,407.76/x
  3. Step 3: Cross multiply
    2,470.01x = 3,408.14 × 1,407.76
  4. Step 4: Simplify right side
    2,470.01x = 4,797,829.65
  5. Step 5: Solve for x
    x = 4,797,829.65/2,470.01
  6. Step 6: Final answer
    x = 1,942.43

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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.