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Finding the Fourth Proportional to 1,438.21, 2,155.58 and 614.74

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Solution

The fourth proportional to 1,438.21, 2,155.58 and 614.74 is: 921.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.21 : 2,155.58 = 614.74 : x
  2. Step 2: Convert to fraction form
    1,438.21/2,155.58 = 614.74/x
  3. Step 3: Cross multiply
    1,438.21x = 2,155.58 × 614.74
  4. Step 4: Simplify right side
    1,438.21x = 1,325,119.13
  5. Step 5: Solve for x
    x = 1,325,119.13/1,438.21
  6. Step 6: Final answer
    x = 921.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.