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Finding the Fourth Proportional to 1,567.74, 2,351.62 and 472.10

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Solution

The fourth proportional to 1,567.74, 2,351.62 and 472.10 is: 708.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,567.74 : 2,351.62 = 472.10 : x
  2. Step 2: Convert to fraction form
    1,567.74/2,351.62 = 472.10/x
  3. Step 3: Cross multiply
    1,567.74x = 2,351.62 × 472.10
  4. Step 4: Simplify right side
    1,567.74x = 1,110,199.80
  5. Step 5: Solve for x
    x = 1,110,199.80/1,567.74
  6. Step 6: Final answer
    x = 708.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.