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Finding the Fourth Proportional to 1,355.52, 2,030.87 and 943.85

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Solution

The fourth proportional to 1,355.52, 2,030.87 and 943.85 is: 1,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.52 : 2,030.87 = 943.85 : x
  2. Step 2: Convert to fraction form
    1,355.52/2,030.87 = 943.85/x
  3. Step 3: Cross multiply
    1,355.52x = 2,030.87 × 943.85
  4. Step 4: Simplify right side
    1,355.52x = 1,916,844.09
  5. Step 5: Solve for x
    x = 1,916,844.09/1,355.52
  6. Step 6: Final answer
    x = 1,414.10

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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.