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Finding the Fourth Proportional to 2,649.90, 3,657.11 and 1,471.35

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Solution

The fourth proportional to 2,649.90, 3,657.11 and 1,471.35 is: 2,030.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.90 : 3,657.11 = 1,471.35 : x
  2. Step 2: Convert to fraction form
    2,649.90/3,657.11 = 1,471.35/x
  3. Step 3: Cross multiply
    2,649.90x = 3,657.11 × 1,471.35
  4. Step 4: Simplify right side
    2,649.90x = 5,380,888.80
  5. Step 5: Solve for x
    x = 5,380,888.80/2,649.90
  6. Step 6: Final answer
    x = 2,030.60

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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.