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Finding the Fourth Proportional to 1,818.76, 2,722.14 and 1,565.32

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Solution

The fourth proportional to 1,818.76, 2,722.14 and 1,565.32 is: 2,342.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,818.76 : 2,722.14 = 1,565.32 : x
  2. Step 2: Convert to fraction form
    1,818.76/2,722.14 = 1,565.32/x
  3. Step 3: Cross multiply
    1,818.76x = 2,722.14 × 1,565.32
  4. Step 4: Simplify right side
    1,818.76x = 4,261,020.18
  5. Step 5: Solve for x
    x = 4,261,020.18/1,818.76
  6. Step 6: Final answer
    x = 2,342.82

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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.