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Finding the Fourth Proportional to 2,298.80, 3,442.05 and 2,004.92

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Solution

The fourth proportional to 2,298.80, 3,442.05 and 2,004.92 is: 3,002.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.80 : 3,442.05 = 2,004.92 : x
  2. Step 2: Convert to fraction form
    2,298.80/3,442.05 = 2,004.92/x
  3. Step 3: Cross multiply
    2,298.80x = 3,442.05 × 2,004.92
  4. Step 4: Simplify right side
    2,298.80x = 6,901,043.49
  5. Step 5: Solve for x
    x = 6,901,043.49/2,298.80
  6. Step 6: Final answer
    x = 3,002.02

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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.