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Finding the Fourth Proportional to 1,853.50, 2,766.02 and 1,656.46

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Solution

The fourth proportional to 1,853.50, 2,766.02 and 1,656.46 is: 2,471.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.50 : 2,766.02 = 1,656.46 : x
  2. Step 2: Convert to fraction form
    1,853.50/2,766.02 = 1,656.46/x
  3. Step 3: Cross multiply
    1,853.50x = 2,766.02 × 1,656.46
  4. Step 4: Simplify right side
    1,853.50x = 4,581,801.49
  5. Step 5: Solve for x
    x = 4,581,801.49/1,853.50
  6. Step 6: Final answer
    x = 2,471.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.