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Finding the Fourth Proportional to 2,862.63, 4,294.23 and 782.76

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Solution

The fourth proportional to 2,862.63, 4,294.23 and 782.76 is: 1,174.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.63 : 4,294.23 = 782.76 : x
  2. Step 2: Convert to fraction form
    2,862.63/4,294.23 = 782.76/x
  3. Step 3: Cross multiply
    2,862.63x = 4,294.23 × 782.76
  4. Step 4: Simplify right side
    2,862.63x = 3,361,351.47
  5. Step 5: Solve for x
    x = 3,361,351.47/2,862.63
  6. Step 6: Final answer
    x = 1,174.22

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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.