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Finding the Fourth Proportional to 2,004.92, 2,767.04 and 1,258.92

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Solution

The fourth proportional to 2,004.92, 2,767.04 and 1,258.92 is: 1,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.92 : 2,767.04 = 1,258.92 : x
  2. Step 2: Convert to fraction form
    2,004.92/2,767.04 = 1,258.92/x
  3. Step 3: Cross multiply
    2,004.92x = 2,767.04 × 1,258.92
  4. Step 4: Simplify right side
    2,004.92x = 3,483,482.00
  5. Step 5: Solve for x
    x = 3,483,482.00/2,004.92
  6. Step 6: Final answer
    x = 1,737.47

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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.