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Finding the Fourth Proportional to 2,472.73, 3,418.95 and 2,161.51

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Solution

The fourth proportional to 2,472.73, 3,418.95 and 2,161.51 is: 2,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,472.73 : 3,418.95 = 2,161.51 : x
  2. Step 2: Convert to fraction form
    2,472.73/3,418.95 = 2,161.51/x
  3. Step 3: Cross multiply
    2,472.73x = 3,418.95 × 2,161.51
  4. Step 4: Simplify right side
    2,472.73x = 7,390,094.61
  5. Step 5: Solve for x
    x = 7,390,094.61/2,472.73
  6. Step 6: Final answer
    x = 2,988.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.