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Finding the Fourth Proportional to 1,871.74, 2,582.87 and 1,032.39

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Solution

The fourth proportional to 1,871.74, 2,582.87 and 1,032.39 is: 1,424.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.74 : 2,582.87 = 1,032.39 : x
  2. Step 2: Convert to fraction form
    1,871.74/2,582.87 = 1,032.39/x
  3. Step 3: Cross multiply
    1,871.74x = 2,582.87 × 1,032.39
  4. Step 4: Simplify right side
    1,871.74x = 2,666,529.16
  5. Step 5: Solve for x
    x = 2,666,529.16/1,871.74
  6. Step 6: Final answer
    x = 1,424.63

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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.