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Finding the Fourth Proportional to 1,637.29, 2,258.99 and 1,008.30

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Solution

The fourth proportional to 1,637.29, 2,258.99 and 1,008.30 is: 1,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.29 : 2,258.99 = 1,008.30 : x
  2. Step 2: Convert to fraction form
    1,637.29/2,258.99 = 1,008.30/x
  3. Step 3: Cross multiply
    1,637.29x = 2,258.99 × 1,008.30
  4. Step 4: Simplify right side
    1,637.29x = 2,277,734.12
  5. Step 5: Solve for x
    x = 2,277,734.12/1,637.29
  6. Step 6: Final answer
    x = 1,391.16

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