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Finding the Fourth Proportional to 2,649.10, 3,657.54 and 2,368.44

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Solution

The fourth proportional to 2,649.10, 3,657.54 and 2,368.44 is: 3,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.10 : 3,657.54 = 2,368.44 : x
  2. Step 2: Convert to fraction form
    2,649.10/3,657.54 = 2,368.44/x
  3. Step 3: Cross multiply
    2,649.10x = 3,657.54 × 2,368.44
  4. Step 4: Simplify right side
    2,649.10x = 8,662,664.04
  5. Step 5: Solve for x
    x = 8,662,664.04/2,649.10
  6. Step 6: Final answer
    x = 3,270.04

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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.