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Finding the Fourth Proportional to 2,547.91, 3,516.18 and 1,428.80

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Solution

The fourth proportional to 2,547.91, 3,516.18 and 1,428.80 is: 1,971.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.91 : 3,516.18 = 1,428.80 : x
  2. Step 2: Convert to fraction form
    2,547.91/3,516.18 = 1,428.80/x
  3. Step 3: Cross multiply
    2,547.91x = 3,516.18 × 1,428.80
  4. Step 4: Simplify right side
    2,547.91x = 5,023,895.05
  5. Step 5: Solve for x
    x = 5,023,895.05/2,547.91
  6. Step 6: Final answer
    x = 1,971.77

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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.