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Finding the Fourth Proportional to 2,398.01, 3,598.16 and 1,243.76

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Solution

The fourth proportional to 2,398.01, 3,598.16 and 1,243.76 is: 1,866.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.01 : 3,598.16 = 1,243.76 : x
  2. Step 2: Convert to fraction form
    2,398.01/3,598.16 = 1,243.76/x
  3. Step 3: Cross multiply
    2,398.01x = 3,598.16 × 1,243.76
  4. Step 4: Simplify right side
    2,398.01x = 4,475,223.27
  5. Step 5: Solve for x
    x = 4,475,223.27/2,398.01
  6. Step 6: Final answer
    x = 1,866.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.