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Finding the Fourth Proportional to 1,649.95, 2,476.17 and 610.58

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Solution

The fourth proportional to 1,649.95, 2,476.17 and 610.58 is: 916.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.95 : 2,476.17 = 610.58 : x
  2. Step 2: Convert to fraction form
    1,649.95/2,476.17 = 610.58/x
  3. Step 3: Cross multiply
    1,649.95x = 2,476.17 × 610.58
  4. Step 4: Simplify right side
    1,649.95x = 1,511,906.07
  5. Step 5: Solve for x
    x = 1,511,906.07/1,649.95
  6. Step 6: Final answer
    x = 916.34

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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.