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Finding the Fourth Proportional to 1,881.71, 2,821.60 and 1,101.88

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Solution

The fourth proportional to 1,881.71, 2,821.60 and 1,101.88 is: 1,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.71 : 2,821.60 = 1,101.88 : x
  2. Step 2: Convert to fraction form
    1,881.71/2,821.60 = 1,101.88/x
  3. Step 3: Cross multiply
    1,881.71x = 2,821.60 × 1,101.88
  4. Step 4: Simplify right side
    1,881.71x = 3,109,054.80
  5. Step 5: Solve for x
    x = 3,109,054.80/1,881.71
  6. Step 6: Final answer
    x = 1,652.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.