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Finding the Fourth Proportional to 1,651, 2,278.36 and 904.97

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Solution

The fourth proportional to 1,651, 2,278.36 and 904.97 is: 1,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651 : 2,278.36 = 904.97 : x
  2. Step 2: Convert to fraction form
    1,651/2,278.36 = 904.97/x
  3. Step 3: Cross multiply
    1,651x = 2,278.36 × 904.97
  4. Step 4: Simplify right side
    1,651x = 2,061,847.45
  5. Step 5: Solve for x
    x = 2,061,847.45/1,651
  6. Step 6: Final answer
    x = 1,248.85

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Why These Related Problems?

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