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Finding the Fourth Proportional to 2,475.52, 3,727.97 and 2,154.76

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Solution

The fourth proportional to 2,475.52, 3,727.97 and 2,154.76 is: 3,244.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.52 : 3,727.97 = 2,154.76 : x
  2. Step 2: Convert to fraction form
    2,475.52/3,727.97 = 2,154.76/x
  3. Step 3: Cross multiply
    2,475.52x = 3,727.97 × 2,154.76
  4. Step 4: Simplify right side
    2,475.52x = 8,032,880.64
  5. Step 5: Solve for x
    x = 8,032,880.64/2,475.52
  6. Step 6: Final answer
    x = 3,244.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.