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Finding the Fourth Proportional to 1,654.39, 2,281.53 and 1,094.68

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Solution

The fourth proportional to 1,654.39, 2,281.53 and 1,094.68 is: 1,509.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654.39 : 2,281.53 = 1,094.68 : x
  2. Step 2: Convert to fraction form
    1,654.39/2,281.53 = 1,094.68/x
  3. Step 3: Cross multiply
    1,654.39x = 2,281.53 × 1,094.68
  4. Step 4: Simplify right side
    1,654.39x = 2,497,545.26
  5. Step 5: Solve for x
    x = 2,497,545.26/1,654.39
  6. Step 6: Final answer
    x = 1,509.65

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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.