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Finding the Fourth Proportional to 2,602.13, 3,897.13 and 2,015.25

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Solution

The fourth proportional to 2,602.13, 3,897.13 and 2,015.25 is: 3,018.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.13 : 3,897.13 = 2,015.25 : x
  2. Step 2: Convert to fraction form
    2,602.13/3,897.13 = 2,015.25/x
  3. Step 3: Cross multiply
    2,602.13x = 3,897.13 × 2,015.25
  4. Step 4: Simplify right side
    2,602.13x = 7,853,687.83
  5. Step 5: Solve for x
    x = 7,853,687.83/2,602.13
  6. Step 6: Final answer
    x = 3,018.18

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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.