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Finding the Fourth Proportional to 1,433.47, 1,979.13 and 1,101.30

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Solution

The fourth proportional to 1,433.47, 1,979.13 and 1,101.30 is: 1,520.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,433.47 : 1,979.13 = 1,101.30 : x
  2. Step 2: Convert to fraction form
    1,433.47/1,979.13 = 1,101.30/x
  3. Step 3: Cross multiply
    1,433.47x = 1,979.13 × 1,101.30
  4. Step 4: Simplify right side
    1,433.47x = 2,179,605.97
  5. Step 5: Solve for x
    x = 2,179,605.97/1,433.47
  6. Step 6: Final answer
    x = 1,520.51

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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.