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Finding the Fourth Proportional to 2,278.23, 3,417.35 and 634.82

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Solution

The fourth proportional to 2,278.23, 3,417.35 and 634.82 is: 952.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278.23 : 3,417.35 = 634.82 : x
  2. Step 2: Convert to fraction form
    2,278.23/3,417.35 = 634.82/x
  3. Step 3: Cross multiply
    2,278.23x = 3,417.35 × 634.82
  4. Step 4: Simplify right side
    2,278.23x = 2,169,402.87
  5. Step 5: Solve for x
    x = 2,169,402.87/2,278.23
  6. Step 6: Final answer
    x = 952.23

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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.