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Finding the Fourth Proportional to 1,637.78, 2,260.04 and 1,008.34

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Solution

The fourth proportional to 1,637.78, 2,260.04 and 1,008.34 is: 1,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.78 : 2,260.04 = 1,008.34 : x
  2. Step 2: Convert to fraction form
    1,637.78/2,260.04 = 1,008.34/x
  3. Step 3: Cross multiply
    1,637.78x = 2,260.04 × 1,008.34
  4. Step 4: Simplify right side
    1,637.78x = 2,278,878.04
  5. Step 5: Solve for x
    x = 2,278,878.04/1,637.78
  6. Step 6: Final answer
    x = 1,391.45

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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.