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Finding the Fourth Proportional to 1,777.24, 2,452.02 and 1,031.02

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Solution

The fourth proportional to 1,777.24, 2,452.02 and 1,031.02 is: 1,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,777.24 : 2,452.02 = 1,031.02 : x
  2. Step 2: Convert to fraction form
    1,777.24/2,452.02 = 1,031.02/x
  3. Step 3: Cross multiply
    1,777.24x = 2,452.02 × 1,031.02
  4. Step 4: Simplify right side
    1,777.24x = 2,528,081.66
  5. Step 5: Solve for x
    x = 2,528,081.66/1,777.24
  6. Step 6: Final answer
    x = 1,422.48

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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.