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Finding the Fourth Proportional to 1,793.77, 2,701.19 and 1,565.40

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Solution

The fourth proportional to 1,793.77, 2,701.19 and 1,565.40 is: 2,357.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,793.77 : 2,701.19 = 1,565.40 : x
  2. Step 2: Convert to fraction form
    1,793.77/2,701.19 = 1,565.40/x
  3. Step 3: Cross multiply
    1,793.77x = 2,701.19 × 1,565.40
  4. Step 4: Simplify right side
    1,793.77x = 4,228,442.83
  5. Step 5: Solve for x
    x = 4,228,442.83/1,793.77
  6. Step 6: Final answer
    x = 2,357.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.