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Finding the Fourth Proportional to 4,102.55, 6,154.90 and 1,470.32

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Solution

The fourth proportional to 4,102.55, 6,154.90 and 1,470.32 is: 2,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.55 : 6,154.90 = 1,470.32 : x
  2. Step 2: Convert to fraction form
    4,102.55/6,154.90 = 1,470.32/x
  3. Step 3: Cross multiply
    4,102.55x = 6,154.90 × 1,470.32
  4. Step 4: Simplify right side
    4,102.55x = 9,049,672.57
  5. Step 5: Solve for x
    x = 9,049,672.57/4,102.55
  6. Step 6: Final answer
    x = 2,205.87

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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.