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Finding the Fourth Proportional to 1,722.97, 2,585.36 and 749.75

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Solution

The fourth proportional to 1,722.97, 2,585.36 and 749.75 is: 1,125.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.97 : 2,585.36 = 749.75 : x
  2. Step 2: Convert to fraction form
    1,722.97/2,585.36 = 749.75/x
  3. Step 3: Cross multiply
    1,722.97x = 2,585.36 × 749.75
  4. Step 4: Simplify right side
    1,722.97x = 1,938,373.66
  5. Step 5: Solve for x
    x = 1,938,373.66/1,722.97
  6. Step 6: Final answer
    x = 1,125.02

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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.