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Finding the Fourth Proportional to 1,481.02, 2,044.10 and 984.35

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Solution

The fourth proportional to 1,481.02, 2,044.10 and 984.35 is: 1,358.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,481.02 : 2,044.10 = 984.35 : x
  2. Step 2: Convert to fraction form
    1,481.02/2,044.10 = 984.35/x
  3. Step 3: Cross multiply
    1,481.02x = 2,044.10 × 984.35
  4. Step 4: Simplify right side
    1,481.02x = 2,012,117.41
  5. Step 5: Solve for x
    x = 2,012,117.41/1,481.02
  6. Step 6: Final answer
    x = 1,358.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.