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Finding the Fourth Proportional to 2,690.10, 4,024.80 and 1,649.88

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Solution

The fourth proportional to 2,690.10, 4,024.80 and 1,649.88 is: 2,468.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,690.10 : 4,024.80 = 1,649.88 : x
  2. Step 2: Convert to fraction form
    2,690.10/4,024.80 = 1,649.88/x
  3. Step 3: Cross multiply
    2,690.10x = 4,024.80 × 1,649.88
  4. Step 4: Simplify right side
    2,690.10x = 6,640,437.02
  5. Step 5: Solve for x
    x = 6,640,437.02/2,690.10
  6. Step 6: Final answer
    x = 2,468.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.