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Finding the Fourth Proportional to 2,577.81, 3,866.72 and 1,018.29

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Solution

The fourth proportional to 2,577.81, 3,866.72 and 1,018.29 is: 1,527.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.81 : 3,866.72 = 1,018.29 : x
  2. Step 2: Convert to fraction form
    2,577.81/3,866.72 = 1,018.29/x
  3. Step 3: Cross multiply
    2,577.81x = 3,866.72 × 1,018.29
  4. Step 4: Simplify right side
    2,577.81x = 3,937,437.22
  5. Step 5: Solve for x
    x = 3,937,437.22/2,577.81
  6. Step 6: Final answer
    x = 1,527.44

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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.