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Finding the Fourth Proportional to 1,438.11, 2,157.10 and 412.11

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Solution

The fourth proportional to 1,438.11, 2,157.10 and 412.11 is: 618.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.11 : 2,157.10 = 412.11 : x
  2. Step 2: Convert to fraction form
    1,438.11/2,157.10 = 412.11/x
  3. Step 3: Cross multiply
    1,438.11x = 2,157.10 × 412.11
  4. Step 4: Simplify right side
    1,438.11x = 888,962.48
  5. Step 5: Solve for x
    x = 888,962.48/1,438.11
  6. Step 6: Final answer
    x = 618.15

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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.