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Finding the Fourth Proportional to 2,613.81, 3,606.51 and 1,565.25

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Solution

The fourth proportional to 2,613.81, 3,606.51 and 1,565.25 is: 2,159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,613.81 : 3,606.51 = 1,565.25 : x
  2. Step 2: Convert to fraction form
    2,613.81/3,606.51 = 1,565.25/x
  3. Step 3: Cross multiply
    2,613.81x = 3,606.51 × 1,565.25
  4. Step 4: Simplify right side
    2,613.81x = 5,645,089.78
  5. Step 5: Solve for x
    x = 5,645,089.78/2,613.81
  6. Step 6: Final answer
    x = 2,159.72

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