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Finding the Fourth Proportional to 1,355.28, 1,869.72 and 981.44

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Solution

The fourth proportional to 1,355.28, 1,869.72 and 981.44 is: 1,353.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.28 : 1,869.72 = 981.44 : x
  2. Step 2: Convert to fraction form
    1,355.28/1,869.72 = 981.44/x
  3. Step 3: Cross multiply
    1,355.28x = 1,869.72 × 981.44
  4. Step 4: Simplify right side
    1,355.28x = 1,835,018.00
  5. Step 5: Solve for x
    x = 1,835,018.00/1,355.28
  6. Step 6: Final answer
    x = 1,353.98

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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.