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Finding the Fourth Proportional to 1,871.73, 2,583 and 1,032.46

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Solution

The fourth proportional to 1,871.73, 2,583 and 1,032.46 is: 1,424.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.73 : 2,583 = 1,032.46 : x
  2. Step 2: Convert to fraction form
    1,871.73/2,583 = 1,032.46/x
  3. Step 3: Cross multiply
    1,871.73x = 2,583 × 1,032.46
  4. Step 4: Simplify right side
    1,871.73x = 2,666,844.18
  5. Step 5: Solve for x
    x = 2,666,844.18/1,871.73
  6. Step 6: Final answer
    x = 1,424.80

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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.