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Finding the Fourth Proportional to 2,625.48, 3,934.08 and 1,649.70

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Solution

The fourth proportional to 2,625.48, 3,934.08 and 1,649.70 is: 2,471.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.48 : 3,934.08 = 1,649.70 : x
  2. Step 2: Convert to fraction form
    2,625.48/3,934.08 = 1,649.70/x
  3. Step 3: Cross multiply
    2,625.48x = 3,934.08 × 1,649.70
  4. Step 4: Simplify right side
    2,625.48x = 6,490,051.78
  5. Step 5: Solve for x
    x = 6,490,051.78/2,625.48
  6. Step 6: Final answer
    x = 2,471.95

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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.