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Finding the Fourth Proportional to 3,264.73, 4,897.94 and 1,415.42

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Solution

The fourth proportional to 3,264.73, 4,897.94 and 1,415.42 is: 2,123.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.73 : 4,897.94 = 1,415.42 : x
  2. Step 2: Convert to fraction form
    3,264.73/4,897.94 = 1,415.42/x
  3. Step 3: Cross multiply
    3,264.73x = 4,897.94 × 1,415.42
  4. Step 4: Simplify right side
    3,264.73x = 6,932,610.67
  5. Step 5: Solve for x
    x = 6,932,610.67/3,264.73
  6. Step 6: Final answer
    x = 2,123.49

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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.