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Finding the Fourth Proportional to 2,892.10, 4,331.16 and 1,655.76

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Solution

The fourth proportional to 2,892.10, 4,331.16 and 1,655.76 is: 2,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,892.10 : 4,331.16 = 1,655.76 : x
  2. Step 2: Convert to fraction form
    2,892.10/4,331.16 = 1,655.76/x
  3. Step 3: Cross multiply
    2,892.10x = 4,331.16 × 1,655.76
  4. Step 4: Simplify right side
    2,892.10x = 7,171,361.48
  5. Step 5: Solve for x
    x = 7,171,361.48/2,892.10
  6. Step 6: Final answer
    x = 2,479.64

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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.