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Finding the Fourth Proportional to 3,402.32, 5,102.46 and 1,210.76

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Solution

The fourth proportional to 3,402.32, 5,102.46 and 1,210.76 is: 1,815.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.32 : 5,102.46 = 1,210.76 : x
  2. Step 2: Convert to fraction form
    3,402.32/5,102.46 = 1,210.76/x
  3. Step 3: Cross multiply
    3,402.32x = 5,102.46 × 1,210.76
  4. Step 4: Simplify right side
    3,402.32x = 6,177,854.47
  5. Step 5: Solve for x
    x = 6,177,854.47/3,402.32
  6. Step 6: Final answer
    x = 1,815.78

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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.