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Finding the Fourth Proportional to 1,731.12, 2,597.00 and 950.70

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Solution

The fourth proportional to 1,731.12, 2,597.00 and 950.70 is: 1,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.12 : 2,597.00 = 950.70 : x
  2. Step 2: Convert to fraction form
    1,731.12/2,597.00 = 950.70/x
  3. Step 3: Cross multiply
    1,731.12x = 2,597.00 × 950.70
  4. Step 4: Simplify right side
    1,731.12x = 2,468,963.15
  5. Step 5: Solve for x
    x = 2,468,963.15/1,731.12
  6. Step 6: Final answer
    x = 1,426.22

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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.