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Finding the Fourth Proportional to 1,654.80, 2,281.58 and 1,390.28

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Solution

The fourth proportional to 1,654.80, 2,281.58 and 1,390.28 is: 1,916.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.80 : 2,281.58 = 1,390.28 : x
  2. Step 2: Convert to fraction form
    1,654.80/2,281.58 = 1,390.28/x
  3. Step 3: Cross multiply
    1,654.80x = 2,281.58 × 1,390.28
  4. Step 4: Simplify right side
    1,654.80x = 3,172,035.04
  5. Step 5: Solve for x
    x = 3,172,035.04/1,654.80
  6. Step 6: Final answer
    x = 1,916.87

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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.