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Finding the Fourth Proportional to 2,535.64, 3,500.44 and 1,592.80

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Solution

The fourth proportional to 2,535.64, 3,500.44 and 1,592.80 is: 2,198.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535.64 : 3,500.44 = 1,592.80 : x
  2. Step 2: Convert to fraction form
    2,535.64/3,500.44 = 1,592.80/x
  3. Step 3: Cross multiply
    2,535.64x = 3,500.44 × 1,592.80
  4. Step 4: Simplify right side
    2,535.64x = 5,575,488.10
  5. Step 5: Solve for x
    x = 5,575,488.10/2,535.64
  6. Step 6: Final answer
    x = 2,198.85

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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.