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Finding the Fourth Proportional to 1,729.48, 2,591.52 and 948.82

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Solution

The fourth proportional to 1,729.48, 2,591.52 and 948.82 is: 1,421.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.48 : 2,591.52 = 948.82 : x
  2. Step 2: Convert to fraction form
    1,729.48/2,591.52 = 948.82/x
  3. Step 3: Cross multiply
    1,729.48x = 2,591.52 × 948.82
  4. Step 4: Simplify right side
    1,729.48x = 2,458,886.01
  5. Step 5: Solve for x
    x = 2,458,886.01/1,729.48
  6. Step 6: Final answer
    x = 1,421.75

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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.