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Finding the Fourth Proportional to 2,929.64, 4,395.18 and 982.28

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Solution

The fourth proportional to 2,929.64, 4,395.18 and 982.28 is: 1,473.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,929.64 : 4,395.18 = 982.28 : x
  2. Step 2: Convert to fraction form
    2,929.64/4,395.18 = 982.28/x
  3. Step 3: Cross multiply
    2,929.64x = 4,395.18 × 982.28
  4. Step 4: Simplify right side
    2,929.64x = 4,317,297.41
  5. Step 5: Solve for x
    x = 4,317,297.41/2,929.64
  6. Step 6: Final answer
    x = 1,473.66

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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.