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Finding the Fourth Proportional to 1,843.60, 2,765.76 and 545.02

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Solution

The fourth proportional to 1,843.60, 2,765.76 and 545.02 is: 817.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,843.60 : 2,765.76 = 545.02 : x
  2. Step 2: Convert to fraction form
    1,843.60/2,765.76 = 545.02/x
  3. Step 3: Cross multiply
    1,843.60x = 2,765.76 × 545.02
  4. Step 4: Simplify right side
    1,843.60x = 1,507,394.52
  5. Step 5: Solve for x
    x = 1,507,394.52/1,843.60
  6. Step 6: Final answer
    x = 817.64

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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.