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Finding the Fourth Proportional to 2,547.95, 3,516.47 and 1,429.20

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Solution

The fourth proportional to 2,547.95, 3,516.47 and 1,429.20 is: 1,972.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.95 : 3,516.47 = 1,429.20 : x
  2. Step 2: Convert to fraction form
    2,547.95/3,516.47 = 1,429.20/x
  3. Step 3: Cross multiply
    2,547.95x = 3,516.47 × 1,429.20
  4. Step 4: Simplify right side
    2,547.95x = 5,025,731.78
  5. Step 5: Solve for x
    x = 5,025,731.78/2,547.95
  6. Step 6: Final answer
    x = 1,972.46

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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.