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Finding the Fourth Proportional to 2,285.67, 3,154.17 and 1,290.93

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Solution

The fourth proportional to 2,285.67, 3,154.17 and 1,290.93 is: 1,781.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.67 : 3,154.17 = 1,290.93 : x
  2. Step 2: Convert to fraction form
    2,285.67/3,154.17 = 1,290.93/x
  3. Step 3: Cross multiply
    2,285.67x = 3,154.17 × 1,290.93
  4. Step 4: Simplify right side
    2,285.67x = 4,071,812.68
  5. Step 5: Solve for x
    x = 4,071,812.68/2,285.67
  6. Step 6: Final answer
    x = 1,781.45

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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.