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Finding the Fourth Proportional to 2,547.59, 3,516.42 and 1,663.53

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Solution

The fourth proportional to 2,547.59, 3,516.42 and 1,663.53 is: 2,296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.59 : 3,516.42 = 1,663.53 : x
  2. Step 2: Convert to fraction form
    2,547.59/3,516.42 = 1,663.53/x
  3. Step 3: Cross multiply
    2,547.59x = 3,516.42 × 1,663.53
  4. Step 4: Simplify right side
    2,547.59x = 5,849,644.26
  5. Step 5: Solve for x
    x = 5,849,644.26/2,547.59
  6. Step 6: Final answer
    x = 2,296.15

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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.