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Finding the Fourth Proportional to 1,637.02, 2,258.82 and 938.26

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Solution

The fourth proportional to 1,637.02, 2,258.82 and 938.26 is: 1,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.02 : 2,258.82 = 938.26 : x
  2. Step 2: Convert to fraction form
    1,637.02/2,258.82 = 938.26/x
  3. Step 3: Cross multiply
    1,637.02x = 2,258.82 × 938.26
  4. Step 4: Simplify right side
    1,637.02x = 2,119,360.45
  5. Step 5: Solve for x
    x = 2,119,360.45/1,637.02
  6. Step 6: Final answer
    x = 1,294.65

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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.