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Finding the Fourth Proportional to 2,862.34, 4,292.82 and 782.35

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Solution

The fourth proportional to 2,862.34, 4,292.82 and 782.35 is: 1,173.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.34 : 4,292.82 = 782.35 : x
  2. Step 2: Convert to fraction form
    2,862.34/4,292.82 = 782.35/x
  3. Step 3: Cross multiply
    2,862.34x = 4,292.82 × 782.35
  4. Step 4: Simplify right side
    2,862.34x = 3,358,487.73
  5. Step 5: Solve for x
    x = 3,358,487.73/2,862.34
  6. Step 6: Final answer
    x = 1,173.34

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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.