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Finding the Fourth Proportional to 2,290.55, 3,159.95 and 1,449.77

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Solution

The fourth proportional to 2,290.55, 3,159.95 and 1,449.77 is: 2,000.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,290.55 : 3,159.95 = 1,449.77 : x
  2. Step 2: Convert to fraction form
    2,290.55/3,159.95 = 1,449.77/x
  3. Step 3: Cross multiply
    2,290.55x = 3,159.95 × 1,449.77
  4. Step 4: Simplify right side
    2,290.55x = 4,581,177.66
  5. Step 5: Solve for x
    x = 4,581,177.66/2,290.55
  6. Step 6: Final answer
    x = 2,000.04

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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.