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Finding the Fourth Proportional to 2,062.70, 3,094.92 and 1,323.15

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Solution

The fourth proportional to 2,062.70, 3,094.92 and 1,323.15 is: 1,985.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,062.70 : 3,094.92 = 1,323.15 : x
  2. Step 2: Convert to fraction form
    2,062.70/3,094.92 = 1,323.15/x
  3. Step 3: Cross multiply
    2,062.70x = 3,094.92 × 1,323.15
  4. Step 4: Simplify right side
    2,062.70x = 4,095,043.40
  5. Step 5: Solve for x
    x = 4,095,043.40/2,062.70
  6. Step 6: Final answer
    x = 1,985.29

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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.