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Finding the Fourth Proportional to 1,434.03, 2,145.60 and 849.34

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Solution

The fourth proportional to 1,434.03, 2,145.60 and 849.34 is: 1,270.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434.03 : 2,145.60 = 849.34 : x
  2. Step 2: Convert to fraction form
    1,434.03/2,145.60 = 849.34/x
  3. Step 3: Cross multiply
    1,434.03x = 2,145.60 × 849.34
  4. Step 4: Simplify right side
    1,434.03x = 1,822,343.90
  5. Step 5: Solve for x
    x = 1,822,343.90/1,434.03
  6. Step 6: Final answer
    x = 1,270.79

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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.