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Finding the Fourth Proportional to 2,929.62, 4,395.03 and 981.84

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Solution

The fourth proportional to 2,929.62, 4,395.03 and 981.84 is: 1,472.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.62 : 4,395.03 = 981.84 : x
  2. Step 2: Convert to fraction form
    2,929.62/4,395.03 = 981.84/x
  3. Step 3: Cross multiply
    2,929.62x = 4,395.03 × 981.84
  4. Step 4: Simplify right side
    2,929.62x = 4,315,216.26
  5. Step 5: Solve for x
    x = 4,315,216.26/2,929.62
  6. Step 6: Final answer
    x = 1,472.96

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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.