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Finding the Fourth Proportional to 1,853.29, 2,778.45 and 928.18

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Solution

The fourth proportional to 1,853.29, 2,778.45 and 928.18 is: 1,391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.29 : 2,778.45 = 928.18 : x
  2. Step 2: Convert to fraction form
    1,853.29/2,778.45 = 928.18/x
  3. Step 3: Cross multiply
    1,853.29x = 2,778.45 × 928.18
  4. Step 4: Simplify right side
    1,853.29x = 2,578,901.72
  5. Step 5: Solve for x
    x = 2,578,901.72/1,853.29
  6. Step 6: Final answer
    x = 1,391.53

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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.