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Finding the Fourth Proportional to 2,862.84, 4,294.26 and 1,843.32

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Solution

The fourth proportional to 2,862.84, 4,294.26 and 1,843.32 is: 2,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.84 : 4,294.26 = 1,843.32 : x
  2. Step 2: Convert to fraction form
    2,862.84/4,294.26 = 1,843.32/x
  3. Step 3: Cross multiply
    2,862.84x = 4,294.26 × 1,843.32
  4. Step 4: Simplify right side
    2,862.84x = 7,915,695.34
  5. Step 5: Solve for x
    x = 7,915,695.34/2,862.84
  6. Step 6: Final answer
    x = 2,764.98

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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.