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Finding the Fourth Proportional to 1,651.22, 2,278.59 and 905.03

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Solution

The fourth proportional to 1,651.22, 2,278.59 and 905.03 is: 1,248.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.22 : 2,278.59 = 905.03 : x
  2. Step 2: Convert to fraction form
    1,651.22/2,278.59 = 905.03/x
  3. Step 3: Cross multiply
    1,651.22x = 2,278.59 × 905.03
  4. Step 4: Simplify right side
    1,651.22x = 2,062,192.31
  5. Step 5: Solve for x
    x = 2,062,192.31/1,651.22
  6. Step 6: Final answer
    x = 1,248.89

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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.