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Finding the Fourth Proportional to 2,570.92, 3,854.94 and 839.08

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Solution

The fourth proportional to 2,570.92, 3,854.94 and 839.08 is: 1,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,570.92 : 3,854.94 = 839.08 : x
  2. Step 2: Convert to fraction form
    2,570.92/3,854.94 = 839.08/x
  3. Step 3: Cross multiply
    2,570.92x = 3,854.94 × 839.08
  4. Step 4: Simplify right side
    2,570.92x = 3,234,603.06
  5. Step 5: Solve for x
    x = 3,234,603.06/2,570.92
  6. Step 6: Final answer
    x = 1,258.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.