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Finding the Fourth Proportional to 1,724.26, 2,585.72 and 553.94

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Solution

The fourth proportional to 1,724.26, 2,585.72 and 553.94 is: 830.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.26 : 2,585.72 = 553.94 : x
  2. Step 2: Convert to fraction form
    1,724.26/2,585.72 = 553.94/x
  3. Step 3: Cross multiply
    1,724.26x = 2,585.72 × 553.94
  4. Step 4: Simplify right side
    1,724.26x = 1,432,333.74
  5. Step 5: Solve for x
    x = 1,432,333.74/1,724.26
  6. Step 6: Final answer
    x = 830.69

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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.