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Finding the Fourth Proportional to 2,997.57, 4,498.71 and 2,079.58

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Solution

The fourth proportional to 2,997.57, 4,498.71 and 2,079.58 is: 3,121.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.57 : 4,498.71 = 2,079.58 : x
  2. Step 2: Convert to fraction form
    2,997.57/4,498.71 = 2,079.58/x
  3. Step 3: Cross multiply
    2,997.57x = 4,498.71 × 2,079.58
  4. Step 4: Simplify right side
    2,997.57x = 9,355,427.34
  5. Step 5: Solve for x
    x = 9,355,427.34/2,997.57
  6. Step 6: Final answer
    x = 3,121.00

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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.