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Finding the Fourth Proportional to 2,862.66, 4,294.49 and 1,014.85

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Solution

The fourth proportional to 2,862.66, 4,294.49 and 1,014.85 is: 1,522.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.66 : 4,294.49 = 1,014.85 : x
  2. Step 2: Convert to fraction form
    2,862.66/4,294.49 = 1,014.85/x
  3. Step 3: Cross multiply
    2,862.66x = 4,294.49 × 1,014.85
  4. Step 4: Simplify right side
    2,862.66x = 4,358,263.18
  5. Step 5: Solve for x
    x = 4,358,263.18/2,862.66
  6. Step 6: Final answer
    x = 1,522.45

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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.