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Finding the Fourth Proportional to 2,396.90, 3,574.18 and 2,105.60

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Solution

The fourth proportional to 2,396.90, 3,574.18 and 2,105.60 is: 3,139.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396.90 : 3,574.18 = 2,105.60 : x
  2. Step 2: Convert to fraction form
    2,396.90/3,574.18 = 2,105.60/x
  3. Step 3: Cross multiply
    2,396.90x = 3,574.18 × 2,105.60
  4. Step 4: Simplify right side
    2,396.90x = 7,525,775.54
  5. Step 5: Solve for x
    x = 7,525,775.54/2,396.90
  6. Step 6: Final answer
    x = 3,139.80

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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.