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Finding the Fourth Proportional to 1,871.87, 2,582.17 and 1,429.00

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Solution

The fourth proportional to 1,871.87, 2,582.17 and 1,429.00 is: 1,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.87 : 2,582.17 = 1,429.00 : x
  2. Step 2: Convert to fraction form
    1,871.87/2,582.17 = 1,429.00/x
  3. Step 3: Cross multiply
    1,871.87x = 2,582.17 × 1,429.00
  4. Step 4: Simplify right side
    1,871.87x = 3,689,910.90
  5. Step 5: Solve for x
    x = 3,689,910.90/1,871.87
  6. Step 6: Final answer
    x = 1,971.25

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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.