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Finding the Fourth Proportional to 1,777.31, 2,666.57 and 1,119.69

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Solution

The fourth proportional to 1,777.31, 2,666.57 and 1,119.69 is: 1,679.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.31 : 2,666.57 = 1,119.69 : x
  2. Step 2: Convert to fraction form
    1,777.31/2,666.57 = 1,119.69/x
  3. Step 3: Cross multiply
    1,777.31x = 2,666.57 × 1,119.69
  4. Step 4: Simplify right side
    1,777.31x = 2,985,726.16
  5. Step 5: Solve for x
    x = 2,985,726.16/1,777.31
  6. Step 6: Final answer
    x = 1,679.92

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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.