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Finding the Fourth Proportional to 2,602.23, 3,897.53 and 2,013.22

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Solution

The fourth proportional to 2,602.23, 3,897.53 and 2,013.22 is: 3,015.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.23 : 3,897.53 = 2,013.22 : x
  2. Step 2: Convert to fraction form
    2,602.23/3,897.53 = 2,013.22/x
  3. Step 3: Cross multiply
    2,602.23x = 3,897.53 × 2,013.22
  4. Step 4: Simplify right side
    2,602.23x = 7,846,585.35
  5. Step 5: Solve for x
    x = 7,846,585.35/2,602.23
  6. Step 6: Final answer
    x = 3,015.33

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