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Finding the Fourth Proportional to 1,862.02, 2,793.84 and 1,285.84

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Solution

The fourth proportional to 1,862.02, 2,793.84 and 1,285.84 is: 1,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.02 : 2,793.84 = 1,285.84 : x
  2. Step 2: Convert to fraction form
    1,862.02/2,793.84 = 1,285.84/x
  3. Step 3: Cross multiply
    1,862.02x = 2,793.84 × 1,285.84
  4. Step 4: Simplify right side
    1,862.02x = 3,592,431.23
  5. Step 5: Solve for x
    x = 3,592,431.23/1,862.02
  6. Step 6: Final answer
    x = 1,929.32

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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.