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Finding the Fourth Proportional to 1,728.24, 2,591.59 and 631.84

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Solution

The fourth proportional to 1,728.24, 2,591.59 and 631.84 is: 947.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728.24 : 2,591.59 = 631.84 : x
  2. Step 2: Convert to fraction form
    1,728.24/2,591.59 = 631.84/x
  3. Step 3: Cross multiply
    1,728.24x = 2,591.59 × 631.84
  4. Step 4: Simplify right side
    1,728.24x = 1,637,470.23
  5. Step 5: Solve for x
    x = 1,637,470.23/1,728.24
  6. Step 6: Final answer
    x = 947.48

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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.