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Finding the Fourth Proportional to 2,862.81, 4,294.31 and 914.94

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Solution

The fourth proportional to 2,862.81, 4,294.31 and 914.94 is: 1,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.81 : 4,294.31 = 914.94 : x
  2. Step 2: Convert to fraction form
    2,862.81/4,294.31 = 914.94/x
  3. Step 3: Cross multiply
    2,862.81x = 4,294.31 × 914.94
  4. Step 4: Simplify right side
    2,862.81x = 3,929,031.42
  5. Step 5: Solve for x
    x = 3,929,031.42/2,862.81
  6. Step 6: Final answer
    x = 1,372.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.