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Finding the Fourth Proportional to 1,777.70, 2,453.22 and 1,031.82

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Solution

The fourth proportional to 1,777.70, 2,453.22 and 1,031.82 is: 1,423.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.70 : 2,453.22 = 1,031.82 : x
  2. Step 2: Convert to fraction form
    1,777.70/2,453.22 = 1,031.82/x
  3. Step 3: Cross multiply
    1,777.70x = 2,453.22 × 1,031.82
  4. Step 4: Simplify right side
    1,777.70x = 2,531,281.46
  5. Step 5: Solve for x
    x = 2,531,281.46/1,777.70
  6. Step 6: Final answer
    x = 1,423.91

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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.