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Finding the Fourth Proportional to 1,438.28, 1,985.20 and 849.01

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Solution

The fourth proportional to 1,438.28, 1,985.20 and 849.01 is: 1,171.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.28 : 1,985.20 = 849.01 : x
  2. Step 2: Convert to fraction form
    1,438.28/1,985.20 = 849.01/x
  3. Step 3: Cross multiply
    1,438.28x = 1,985.20 × 849.01
  4. Step 4: Simplify right side
    1,438.28x = 1,685,447.57
  5. Step 5: Solve for x
    x = 1,685,447.57/1,438.28
  6. Step 6: Final answer
    x = 1,171.85

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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.