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Finding the Fourth Proportional to 2,598.93, 3,897.92 and 699.27

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Solution

The fourth proportional to 2,598.93, 3,897.92 and 699.27 is: 1,048.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,598.93 : 3,897.92 = 699.27 : x
  2. Step 2: Convert to fraction form
    2,598.93/3,897.92 = 699.27/x
  3. Step 3: Cross multiply
    2,598.93x = 3,897.92 × 699.27
  4. Step 4: Simplify right side
    2,598.93x = 2,725,695.02
  5. Step 5: Solve for x
    x = 2,725,695.02/2,598.93
  6. Step 6: Final answer
    x = 1,048.78

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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.