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Finding the Fourth Proportional to 1,438.27, 1,985.18 and 849.19

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Solution

The fourth proportional to 1,438.27, 1,985.18 and 849.19 is: 1,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.27 : 1,985.18 = 849.19 : x
  2. Step 2: Convert to fraction form
    1,438.27/1,985.18 = 849.19/x
  3. Step 3: Cross multiply
    1,438.27x = 1,985.18 × 849.19
  4. Step 4: Simplify right side
    1,438.27x = 1,685,795.00
  5. Step 5: Solve for x
    x = 1,685,795.00/1,438.27
  6. Step 6: Final answer
    x = 1,172.10

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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.