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Finding the Fourth Proportional to 2,458.32, 3,692.40 and 1,535.52

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Solution

The fourth proportional to 2,458.32, 3,692.40 and 1,535.52 is: 2,306.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.32 : 3,692.40 = 1,535.52 : x
  2. Step 2: Convert to fraction form
    2,458.32/3,692.40 = 1,535.52/x
  3. Step 3: Cross multiply
    2,458.32x = 3,692.40 × 1,535.52
  4. Step 4: Simplify right side
    2,458.32x = 5,669,754.05
  5. Step 5: Solve for x
    x = 5,669,754.05/2,458.32
  6. Step 6: Final answer
    x = 2,306.35

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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.