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Finding the Fourth Proportional to 1,565.93, 2,161.49 and 1,068.39

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Solution

The fourth proportional to 1,565.93, 2,161.49 and 1,068.39 is: 1,474.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.93 : 2,161.49 = 1,068.39 : x
  2. Step 2: Convert to fraction form
    1,565.93/2,161.49 = 1,068.39/x
  3. Step 3: Cross multiply
    1,565.93x = 2,161.49 × 1,068.39
  4. Step 4: Simplify right side
    1,565.93x = 2,309,308.96
  5. Step 5: Solve for x
    x = 2,309,308.96/1,565.93
  6. Step 6: Final answer
    x = 1,474.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.