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Finding the Fourth Proportional to 2,502.28, 3,751.62 and 1,565.56

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Solution

The fourth proportional to 2,502.28, 3,751.62 and 1,565.56 is: 2,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.28 : 3,751.62 = 1,565.56 : x
  2. Step 2: Convert to fraction form
    2,502.28/3,751.62 = 1,565.56/x
  3. Step 3: Cross multiply
    2,502.28x = 3,751.62 × 1,565.56
  4. Step 4: Simplify right side
    2,502.28x = 5,873,386.21
  5. Step 5: Solve for x
    x = 5,873,386.21/2,502.28
  6. Step 6: Final answer
    x = 2,347.21

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