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Finding the Fourth Proportional to 2,892.68, 4,335.78 and 1,159.28

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Solution

The fourth proportional to 2,892.68, 4,335.78 and 1,159.28 is: 1,737.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.68 : 4,335.78 = 1,159.28 : x
  2. Step 2: Convert to fraction form
    2,892.68/4,335.78 = 1,159.28/x
  3. Step 3: Cross multiply
    2,892.68x = 4,335.78 × 1,159.28
  4. Step 4: Simplify right side
    2,892.68x = 5,026,383.04
  5. Step 5: Solve for x
    x = 5,026,383.04/2,892.68
  6. Step 6: Final answer
    x = 1,737.62

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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.