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Finding the Fourth Proportional to 1,724.81, 2,380.64 and 1,052.85

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Solution

The fourth proportional to 1,724.81, 2,380.64 and 1,052.85 is: 1,453.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.81 : 2,380.64 = 1,052.85 : x
  2. Step 2: Convert to fraction form
    1,724.81/2,380.64 = 1,052.85/x
  3. Step 3: Cross multiply
    1,724.81x = 2,380.64 × 1,052.85
  4. Step 4: Simplify right side
    1,724.81x = 2,506,453.02
  5. Step 5: Solve for x
    x = 2,506,453.02/1,724.81
  6. Step 6: Final answer
    x = 1,453.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.