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Finding the Fourth Proportional to 1,776.96, 2,452.20 and 1,031.07

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Solution

The fourth proportional to 1,776.96, 2,452.20 and 1,031.07 is: 1,422.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,776.96 : 2,452.20 = 1,031.07 : x
  2. Step 2: Convert to fraction form
    1,776.96/2,452.20 = 1,031.07/x
  3. Step 3: Cross multiply
    1,776.96x = 2,452.20 × 1,031.07
  4. Step 4: Simplify right side
    1,776.96x = 2,528,389.85
  5. Step 5: Solve for x
    x = 2,528,389.85/1,776.96
  6. Step 6: Final answer
    x = 1,422.87

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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.