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Finding the Fourth Proportional to 1,565.81, 2,160.65 and 936.21

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Solution

The fourth proportional to 1,565.81, 2,160.65 and 936.21 is: 1,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.81 : 2,160.65 = 936.21 : x
  2. Step 2: Convert to fraction form
    1,565.81/2,160.65 = 936.21/x
  3. Step 3: Cross multiply
    1,565.81x = 2,160.65 × 936.21
  4. Step 4: Simplify right side
    1,565.81x = 2,022,817.54
  5. Step 5: Solve for x
    x = 2,022,817.54/1,565.81
  6. Step 6: Final answer
    x = 1,291.87

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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.