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Finding the Fourth Proportional to 2,547.60, 3,822.96 and 1,394.16

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Solution

The fourth proportional to 2,547.60, 3,822.96 and 1,394.16 is: 2,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.60 : 3,822.96 = 1,394.16 : x
  2. Step 2: Convert to fraction form
    2,547.60/3,822.96 = 1,394.16/x
  3. Step 3: Cross multiply
    2,547.60x = 3,822.96 × 1,394.16
  4. Step 4: Simplify right side
    2,547.60x = 5,329,817.91
  5. Step 5: Solve for x
    x = 5,329,817.91/2,547.60
  6. Step 6: Final answer
    x = 2,092.09

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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.