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Finding the Fourth Proportional to 1,871.53, 2,582.71 and 1,032.23

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Solution

The fourth proportional to 1,871.53, 2,582.71 and 1,032.23 is: 1,424.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.53 : 2,582.71 = 1,032.23 : x
  2. Step 2: Convert to fraction form
    1,871.53/2,582.71 = 1,032.23/x
  3. Step 3: Cross multiply
    1,871.53x = 2,582.71 × 1,032.23
  4. Step 4: Simplify right side
    1,871.53x = 2,665,954.62
  5. Step 5: Solve for x
    x = 2,665,954.62/1,871.53
  6. Step 6: Final answer
    x = 1,424.48

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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.