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Finding the Fourth Proportional to 2,881.20, 4,321.80 and 934.76

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Solution

The fourth proportional to 2,881.20, 4,321.80 and 934.76 is: 1,402.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,881.20 : 4,321.80 = 934.76 : x
  2. Step 2: Convert to fraction form
    2,881.20/4,321.80 = 934.76/x
  3. Step 3: Cross multiply
    2,881.20x = 4,321.80 × 934.76
  4. Step 4: Simplify right side
    2,881.20x = 4,039,845.77
  5. Step 5: Solve for x
    x = 4,039,845.77/2,881.20
  6. Step 6: Final answer
    x = 1,402.14

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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.