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Finding the Fourth Proportional to 1,871.01, 2,581.80 and 1,031.66

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Solution

The fourth proportional to 1,871.01, 2,581.80 and 1,031.66 is: 1,423.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,871.01 : 2,581.80 = 1,031.66 : x
  2. Step 2: Convert to fraction form
    1,871.01/2,581.80 = 1,031.66/x
  3. Step 3: Cross multiply
    1,871.01x = 2,581.80 × 1,031.66
  4. Step 4: Simplify right side
    1,871.01x = 2,663,534.63
  5. Step 5: Solve for x
    x = 2,663,534.63/1,871.01
  6. Step 6: Final answer
    x = 1,423.58

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