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Finding the Fourth Proportional to 1,724.06, 2,585.72 and 901.92

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Solution

The fourth proportional to 1,724.06, 2,585.72 and 901.92 is: 1,352.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,724.06 : 2,585.72 = 901.92 : x
  2. Step 2: Convert to fraction form
    1,724.06/2,585.72 = 901.92/x
  3. Step 3: Cross multiply
    1,724.06x = 2,585.72 × 901.92
  4. Step 4: Simplify right side
    1,724.06x = 2,332,112.58
  5. Step 5: Solve for x
    x = 2,332,112.58/1,724.06
  6. Step 6: Final answer
    x = 1,352.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.