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Finding the Fourth Proportional to 2,971.70, 4,098.83 and 1,853.20

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Solution

The fourth proportional to 2,971.70, 4,098.83 and 1,853.20 is: 2,556.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.70 : 4,098.83 = 1,853.20 : x
  2. Step 2: Convert to fraction form
    2,971.70/4,098.83 = 1,853.20/x
  3. Step 3: Cross multiply
    2,971.70x = 4,098.83 × 1,853.20
  4. Step 4: Simplify right side
    2,971.70x = 7,595,951.76
  5. Step 5: Solve for x
    x = 7,595,951.76/2,971.70
  6. Step 6: Final answer
    x = 2,556.10

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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.