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Finding the Fourth Proportional to 2,393.02, 3,302.62 and 1,398.62

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Solution

The fourth proportional to 2,393.02, 3,302.62 and 1,398.62 is: 1,930.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.02 : 3,302.62 = 1,398.62 : x
  2. Step 2: Convert to fraction form
    2,393.02/3,302.62 = 1,398.62/x
  3. Step 3: Cross multiply
    2,393.02x = 3,302.62 × 1,398.62
  4. Step 4: Simplify right side
    2,393.02x = 4,619,110.38
  5. Step 5: Solve for x
    x = 4,619,110.38/2,393.02
  6. Step 6: Final answer
    x = 1,930.24

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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.