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Finding the Fourth Proportional to 2,007.68, 2,768.65 and 1,565.42

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Solution

The fourth proportional to 2,007.68, 2,768.65 and 1,565.42 is: 2,158.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,007.68 : 2,768.65 = 1,565.42 : x
  2. Step 2: Convert to fraction form
    2,007.68/2,768.65 = 1,565.42/x
  3. Step 3: Cross multiply
    2,007.68x = 2,768.65 × 1,565.42
  4. Step 4: Simplify right side
    2,007.68x = 4,334,082.33
  5. Step 5: Solve for x
    x = 4,334,082.33/2,007.68
  6. Step 6: Final answer
    x = 2,158.76

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