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Finding the Fourth Proportional to 2,402.02, 3,602.22 and 1,102.78

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Solution

The fourth proportional to 2,402.02, 3,602.22 and 1,102.78 is: 1,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.02 : 3,602.22 = 1,102.78 : x
  2. Step 2: Convert to fraction form
    2,402.02/3,602.22 = 1,102.78/x
  3. Step 3: Cross multiply
    2,402.02x = 3,602.22 × 1,102.78
  4. Step 4: Simplify right side
    2,402.02x = 3,972,456.17
  5. Step 5: Solve for x
    x = 3,972,456.17/2,402.02
  6. Step 6: Final answer
    x = 1,653.80

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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.