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Finding the Fourth Proportional to 1,862.30, 2,793.70 and 612.49

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Solution

The fourth proportional to 1,862.30, 2,793.70 and 612.49 is: 918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862.30 : 2,793.70 = 612.49 : x
  2. Step 2: Convert to fraction form
    1,862.30/2,793.70 = 612.49/x
  3. Step 3: Cross multiply
    1,862.30x = 2,793.70 × 612.49
  4. Step 4: Simplify right side
    1,862.30x = 1,711,105.34
  5. Step 5: Solve for x
    x = 1,711,105.34/1,862.30
  6. Step 6: Final answer
    x = 918.81

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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.