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Finding the Fourth Proportional to 2,692.61, 4,034.12 and 2,298.59

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Solution

The fourth proportional to 2,692.61, 4,034.12 and 2,298.59 is: 3,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,692.61 : 4,034.12 = 2,298.59 : x
  2. Step 2: Convert to fraction form
    2,692.61/4,034.12 = 2,298.59/x
  3. Step 3: Cross multiply
    2,692.61x = 4,034.12 × 2,298.59
  4. Step 4: Simplify right side
    2,692.61x = 9,272,756.23
  5. Step 5: Solve for x
    x = 9,272,756.23/2,692.61
  6. Step 6: Final answer
    x = 3,443.79

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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.