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Finding the Fourth Proportional to 2,071.20, 3,123.20 and 1,844.40

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Solution

The fourth proportional to 2,071.20, 3,123.20 and 1,844.40 is: 2,781.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071.20 : 3,123.20 = 1,844.40 : x
  2. Step 2: Convert to fraction form
    2,071.20/3,123.20 = 1,844.40/x
  3. Step 3: Cross multiply
    2,071.20x = 3,123.20 × 1,844.40
  4. Step 4: Simplify right side
    2,071.20x = 5,760,430.08
  5. Step 5: Solve for x
    x = 5,760,430.08/2,071.20
  6. Step 6: Final answer
    x = 2,781.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.