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Finding the Fourth Proportional to 1,862.65, 2,794.35 and 546.44

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Solution

The fourth proportional to 1,862.65, 2,794.35 and 546.44 is: 819.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.65 : 2,794.35 = 546.44 : x
  2. Step 2: Convert to fraction form
    1,862.65/2,794.35 = 546.44/x
  3. Step 3: Cross multiply
    1,862.65x = 2,794.35 × 546.44
  4. Step 4: Simplify right side
    1,862.65x = 1,526,951.60
  5. Step 5: Solve for x
    x = 1,526,951.60/1,862.65
  6. Step 6: Final answer
    x = 819.77

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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.