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Finding the Fourth Proportional to 2,577.46, 3,866.16 and 1,786.10

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Solution

The fourth proportional to 2,577.46, 3,866.16 and 1,786.10 is: 2,679.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.46 : 3,866.16 = 1,786.10 : x
  2. Step 2: Convert to fraction form
    2,577.46/3,866.16 = 1,786.10/x
  3. Step 3: Cross multiply
    2,577.46x = 3,866.16 × 1,786.10
  4. Step 4: Simplify right side
    2,577.46x = 6,905,348.38
  5. Step 5: Solve for x
    x = 6,905,348.38/2,577.46
  6. Step 6: Final answer
    x = 2,679.13

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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.