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Finding the Fourth Proportional to 2,774.64, 4,158.82 and 1,129.12

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Solution

The fourth proportional to 2,774.64, 4,158.82 and 1,129.12 is: 1,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,774.64 : 4,158.82 = 1,129.12 : x
  2. Step 2: Convert to fraction form
    2,774.64/4,158.82 = 1,129.12/x
  3. Step 3: Cross multiply
    2,774.64x = 4,158.82 × 1,129.12
  4. Step 4: Simplify right side
    2,774.64x = 4,695,806.84
  5. Step 5: Solve for x
    x = 4,695,806.84/2,774.64
  6. Step 6: Final answer
    x = 1,692.40

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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.