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Finding the Fourth Proportional to 3,154.59, 4,731.53 and 845.91

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Solution

The fourth proportional to 3,154.59, 4,731.53 and 845.91 is: 1,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.59 : 4,731.53 = 845.91 : x
  2. Step 2: Convert to fraction form
    3,154.59/4,731.53 = 845.91/x
  3. Step 3: Cross multiply
    3,154.59x = 4,731.53 × 845.91
  4. Step 4: Simplify right side
    3,154.59x = 4,002,444.31
  5. Step 5: Solve for x
    x = 4,002,444.31/3,154.59
  6. Step 6: Final answer
    x = 1,268.77

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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.