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Finding the Fourth Proportional to 1,776.38, 2,665.02 and 1,257.40

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Solution

The fourth proportional to 1,776.38, 2,665.02 and 1,257.40 is: 1,886.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.38 : 2,665.02 = 1,257.40 : x
  2. Step 2: Convert to fraction form
    1,776.38/2,665.02 = 1,257.40/x
  3. Step 3: Cross multiply
    1,776.38x = 2,665.02 × 1,257.40
  4. Step 4: Simplify right side
    1,776.38x = 3,350,982.82
  5. Step 5: Solve for x
    x = 3,350,982.82/1,776.38
  6. Step 6: Final answer
    x = 1,886.41

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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.