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Finding the Fourth Proportional to 2,031.70, 2,801.82 and 1,401.22

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Solution

The fourth proportional to 2,031.70, 2,801.82 and 1,401.22 is: 1,932.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,031.70 : 2,801.82 = 1,401.22 : x
  2. Step 2: Convert to fraction form
    2,031.70/2,801.82 = 1,401.22/x
  3. Step 3: Cross multiply
    2,031.70x = 2,801.82 × 1,401.22
  4. Step 4: Simplify right side
    2,031.70x = 3,925,966.22
  5. Step 5: Solve for x
    x = 3,925,966.22/2,031.70
  6. Step 6: Final answer
    x = 1,932.36

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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.