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Finding the Fourth Proportional to 2,079.60, 3,103.14 and 2,030.20

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Solution

The fourth proportional to 2,079.60, 3,103.14 and 2,030.20 is: 3,029.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.60 : 3,103.14 = 2,030.20 : x
  2. Step 2: Convert to fraction form
    2,079.60/3,103.14 = 2,030.20/x
  3. Step 3: Cross multiply
    2,079.60x = 3,103.14 × 2,030.20
  4. Step 4: Simplify right side
    2,079.60x = 6,299,994.83
  5. Step 5: Solve for x
    x = 6,299,994.83/2,079.60
  6. Step 6: Final answer
    x = 3,029.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.