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Finding the Fourth Proportional to 1,565.68, 2,163.46 and 1,122.81

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Solution

The fourth proportional to 1,565.68, 2,163.46 and 1,122.81 is: 1,551.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,565.68 : 2,163.46 = 1,122.81 : x
  2. Step 2: Convert to fraction form
    1,565.68/2,163.46 = 1,122.81/x
  3. Step 3: Cross multiply
    1,565.68x = 2,163.46 × 1,122.81
  4. Step 4: Simplify right side
    1,565.68x = 2,429,157.88
  5. Step 5: Solve for x
    x = 2,429,157.88/1,565.68
  6. Step 6: Final answer
    x = 1,551.50

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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.