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Finding the Fourth Proportional to 1,729.23, 2,591.76 and 632.31

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Solution

The fourth proportional to 1,729.23, 2,591.76 and 632.31 is: 947.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.23 : 2,591.76 = 632.31 : x
  2. Step 2: Convert to fraction form
    1,729.23/2,591.76 = 632.31/x
  3. Step 3: Cross multiply
    1,729.23x = 2,591.76 × 632.31
  4. Step 4: Simplify right side
    1,729.23x = 1,638,795.77
  5. Step 5: Solve for x
    x = 1,638,795.77/1,729.23
  6. Step 6: Final answer
    x = 947.70

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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.