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Finding the Fourth Proportional to 1,324.40, 1,829.01 and 1,101.14

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Solution

The fourth proportional to 1,324.40, 1,829.01 and 1,101.14 is: 1,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,324.40 : 1,829.01 = 1,101.14 : x
  2. Step 2: Convert to fraction form
    1,324.40/1,829.01 = 1,101.14/x
  3. Step 3: Cross multiply
    1,324.40x = 1,829.01 × 1,101.14
  4. Step 4: Simplify right side
    1,324.40x = 2,013,996.07
  5. Step 5: Solve for x
    x = 2,013,996.07/1,324.40
  6. Step 6: Final answer
    x = 1,520.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.