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Finding the Fourth Proportional to 1,853.52, 2,778.12 and 986.28

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Solution

The fourth proportional to 1,853.52, 2,778.12 and 986.28 is: 1,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,853.52 : 2,778.12 = 986.28 : x
  2. Step 2: Convert to fraction form
    1,853.52/2,778.12 = 986.28/x
  3. Step 3: Cross multiply
    1,853.52x = 2,778.12 × 986.28
  4. Step 4: Simplify right side
    1,853.52x = 2,740,004.19
  5. Step 5: Solve for x
    x = 2,740,004.19/1,853.52
  6. Step 6: Final answer
    x = 1,478.27

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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.