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Finding the Fourth Proportional to 3,314.80, 4,564.98 and 2,649.60

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Solution

The fourth proportional to 3,314.80, 4,564.98 and 2,649.60 is: 3,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.80 : 4,564.98 = 2,649.60 : x
  2. Step 2: Convert to fraction form
    3,314.80/4,564.98 = 2,649.60/x
  3. Step 3: Cross multiply
    3,314.80x = 4,564.98 × 2,649.60
  4. Step 4: Simplify right side
    3,314.80x = 12,095,371.01
  5. Step 5: Solve for x
    x = 12,095,371.01/3,314.80
  6. Step 6: Final answer
    x = 3,648.90

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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.