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Finding the Fourth Proportional to 1,871.37, 2,582.52 and 1,032.18

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Solution

The fourth proportional to 1,871.37, 2,582.52 and 1,032.18 is: 1,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.37 : 2,582.52 = 1,032.18 : x
  2. Step 2: Convert to fraction form
    1,871.37/2,582.52 = 1,032.18/x
  3. Step 3: Cross multiply
    1,871.37x = 2,582.52 × 1,032.18
  4. Step 4: Simplify right side
    1,871.37x = 2,665,611.94
  5. Step 5: Solve for x
    x = 2,665,611.94/1,871.37
  6. Step 6: Final answer
    x = 1,424.42

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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.