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Finding the Fourth Proportional to 1,728.04, 2,591.75 and 632.42

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Solution

The fourth proportional to 1,728.04, 2,591.75 and 632.42 is: 948.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.04 : 2,591.75 = 632.42 : x
  2. Step 2: Convert to fraction form
    1,728.04/2,591.75 = 632.42/x
  3. Step 3: Cross multiply
    1,728.04x = 2,591.75 × 632.42
  4. Step 4: Simplify right side
    1,728.04x = 1,639,074.54
  5. Step 5: Solve for x
    x = 1,639,074.54/1,728.04
  6. Step 6: Final answer
    x = 948.52

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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.