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Finding the Fourth Proportional to 1,776.96, 2,452.49 and 1,031.37

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Solution

The fourth proportional to 1,776.96, 2,452.49 and 1,031.37 is: 1,423.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.96 : 2,452.49 = 1,031.37 : x
  2. Step 2: Convert to fraction form
    1,776.96/2,452.49 = 1,031.37/x
  3. Step 3: Cross multiply
    1,776.96x = 2,452.49 × 1,031.37
  4. Step 4: Simplify right side
    1,776.96x = 2,529,419.45
  5. Step 5: Solve for x
    x = 2,529,419.45/1,776.96
  6. Step 6: Final answer
    x = 1,423.45

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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.