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Finding the Fourth Proportional to 2,470.41, 3,407.20 and 2,098.62

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Solution

The fourth proportional to 2,470.41, 3,407.20 and 2,098.62 is: 2,894.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.41 : 3,407.20 = 2,098.62 : x
  2. Step 2: Convert to fraction form
    2,470.41/3,407.20 = 2,098.62/x
  3. Step 3: Cross multiply
    2,470.41x = 3,407.20 × 2,098.62
  4. Step 4: Simplify right side
    2,470.41x = 7,150,412.82
  5. Step 5: Solve for x
    x = 7,150,412.82/2,470.41
  6. Step 6: Final answer
    x = 2,894.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.