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Finding the Fourth Proportional to 2,981.76, 4,472.68 and 901.78

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Solution

The fourth proportional to 2,981.76, 4,472.68 and 901.78 is: 1,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.76 : 4,472.68 = 901.78 : x
  2. Step 2: Convert to fraction form
    2,981.76/4,472.68 = 901.78/x
  3. Step 3: Cross multiply
    2,981.76x = 4,472.68 × 901.78
  4. Step 4: Simplify right side
    2,981.76x = 4,033,373.37
  5. Step 5: Solve for x
    x = 4,033,373.37/2,981.76
  6. Step 6: Final answer
    x = 1,352.68

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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.