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Finding the Fourth Proportional to 1,871.70, 2,583.46 and 1,086

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Solution

The fourth proportional to 1,871.70, 2,583.46 and 1,086 is: 1,498.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.70 : 2,583.46 = 1,086 : x
  2. Step 2: Convert to fraction form
    1,871.70/2,583.46 = 1,086/x
  3. Step 3: Cross multiply
    1,871.70x = 2,583.46 × 1,086
  4. Step 4: Simplify right side
    1,871.70x = 2,805,637.56
  5. Step 5: Solve for x
    x = 2,805,637.56/1,871.70
  6. Step 6: Final answer
    x = 1,498.98

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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.