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Finding the Fourth Proportional to 1,731.59, 2,597.39 and 635.95

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Solution

The fourth proportional to 1,731.59, 2,597.39 and 635.95 is: 953.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.59 : 2,597.39 = 635.95 : x
  2. Step 2: Convert to fraction form
    1,731.59/2,597.39 = 635.95/x
  3. Step 3: Cross multiply
    1,731.59x = 2,597.39 × 635.95
  4. Step 4: Simplify right side
    1,731.59x = 1,651,810.17
  5. Step 5: Solve for x
    x = 1,651,810.17/1,731.59
  6. Step 6: Final answer
    x = 953.93

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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.