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Finding the Fourth Proportional to 1,871.36, 2,582.48 and 1,032.12

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Solution

The fourth proportional to 1,871.36, 2,582.48 and 1,032.12 is: 1,424.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.36 : 2,582.48 = 1,032.12 : x
  2. Step 2: Convert to fraction form
    1,871.36/2,582.48 = 1,032.12/x
  3. Step 3: Cross multiply
    1,871.36x = 2,582.48 × 1,032.12
  4. Step 4: Simplify right side
    1,871.36x = 2,665,427.97
  5. Step 5: Solve for x
    x = 2,665,427.97/1,871.36
  6. Step 6: Final answer
    x = 1,424.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.