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Finding the Fourth Proportional to 2,398.10, 3,588.24 and 2,104.22

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Solution

The fourth proportional to 2,398.10, 3,588.24 and 2,104.22 is: 3,148.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,398.10 : 3,588.24 = 2,104.22 : x
  2. Step 2: Convert to fraction form
    2,398.10/3,588.24 = 2,104.22/x
  3. Step 3: Cross multiply
    2,398.10x = 3,588.24 × 2,104.22
  4. Step 4: Simplify right side
    2,398.10x = 7,550,463.23
  5. Step 5: Solve for x
    x = 7,550,463.23/2,398.10
  6. Step 6: Final answer
    x = 3,148.52

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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.