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Finding the Fourth Proportional to 1,773.80, 2,446.50 and 1,143.88

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Solution

The fourth proportional to 1,773.80, 2,446.50 and 1,143.88 is: 1,577.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,773.80 : 2,446.50 = 1,143.88 : x
  2. Step 2: Convert to fraction form
    1,773.80/2,446.50 = 1,143.88/x
  3. Step 3: Cross multiply
    1,773.80x = 2,446.50 × 1,143.88
  4. Step 4: Simplify right side
    1,773.80x = 2,798,502.42
  5. Step 5: Solve for x
    x = 2,798,502.42/1,773.80
  6. Step 6: Final answer
    x = 1,577.69

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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.