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Finding the Fourth Proportional to 1,729.36, 2,594.08 and 575.04

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Solution

The fourth proportional to 1,729.36, 2,594.08 and 575.04 is: 862.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729.36 : 2,594.08 = 575.04 : x
  2. Step 2: Convert to fraction form
    1,729.36/2,594.08 = 575.04/x
  3. Step 3: Cross multiply
    1,729.36x = 2,594.08 × 575.04
  4. Step 4: Simplify right side
    1,729.36x = 1,491,699.76
  5. Step 5: Solve for x
    x = 1,491,699.76/1,729.36
  6. Step 6: Final answer
    x = 862.57

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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.