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Finding the Fourth Proportional to 2,929.68, 4,395.56 and 981.88

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Solution

The fourth proportional to 2,929.68, 4,395.56 and 981.88 is: 1,473.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.68 : 4,395.56 = 981.88 : x
  2. Step 2: Convert to fraction form
    2,929.68/4,395.56 = 981.88/x
  3. Step 3: Cross multiply
    2,929.68x = 4,395.56 × 981.88
  4. Step 4: Simplify right side
    2,929.68x = 4,315,912.45
  5. Step 5: Solve for x
    x = 4,315,912.45/2,929.68
  6. Step 6: Final answer
    x = 1,473.17

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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.