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Finding the Fourth Proportional to 2,624.61, 3,936.88 and 981.93

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Solution

The fourth proportional to 2,624.61, 3,936.88 and 981.93 is: 1,472.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.61 : 3,936.88 = 981.93 : x
  2. Step 2: Convert to fraction form
    2,624.61/3,936.88 = 981.93/x
  3. Step 3: Cross multiply
    2,624.61x = 3,936.88 × 981.93
  4. Step 4: Simplify right side
    2,624.61x = 3,865,740.58
  5. Step 5: Solve for x
    x = 3,865,740.58/2,624.61
  6. Step 6: Final answer
    x = 1,472.88

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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.