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Finding the Fourth Proportional to 2,892.76, 4,335.46 and 2,411.62

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Solution

The fourth proportional to 2,892.76, 4,335.46 and 2,411.62 is: 3,614.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.76 : 4,335.46 = 2,411.62 : x
  2. Step 2: Convert to fraction form
    2,892.76/4,335.46 = 2,411.62/x
  3. Step 3: Cross multiply
    2,892.76x = 4,335.46 × 2,411.62
  4. Step 4: Simplify right side
    2,892.76x = 10,455,465.18
  5. Step 5: Solve for x
    x = 10,455,465.18/2,892.76
  6. Step 6: Final answer
    x = 3,614.36

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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.