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Finding the Fourth Proportional to 2,661.76, 3,993.10 and 1,565.53

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Solution

The fourth proportional to 2,661.76, 3,993.10 and 1,565.53 is: 2,348.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.76 : 3,993.10 = 1,565.53 : x
  2. Step 2: Convert to fraction form
    2,661.76/3,993.10 = 1,565.53/x
  3. Step 3: Cross multiply
    2,661.76x = 3,993.10 × 1,565.53
  4. Step 4: Simplify right side
    2,661.76x = 6,251,303.95
  5. Step 5: Solve for x
    x = 6,251,303.95/2,661.76
  6. Step 6: Final answer
    x = 2,348.56

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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.