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Finding the Fourth Proportional to 1,871.37, 2,582.51 and 1,032.10

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Solution

The fourth proportional to 1,871.37, 2,582.51 and 1,032.10 is: 1,424.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.37 : 2,582.51 = 1,032.10 : x
  2. Step 2: Convert to fraction form
    1,871.37/2,582.51 = 1,032.10/x
  3. Step 3: Cross multiply
    1,871.37x = 2,582.51 × 1,032.10
  4. Step 4: Simplify right side
    1,871.37x = 2,665,408.57
  5. Step 5: Solve for x
    x = 2,665,408.57/1,871.37
  6. Step 6: Final answer
    x = 1,424.31

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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.