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Finding the Fourth Proportional to 2,712.86, 4,065.03 and 1,616.63

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Solution

The fourth proportional to 2,712.86, 4,065.03 and 1,616.63 is: 2,422.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.86 : 4,065.03 = 1,616.63 : x
  2. Step 2: Convert to fraction form
    2,712.86/4,065.03 = 1,616.63/x
  3. Step 3: Cross multiply
    2,712.86x = 4,065.03 × 1,616.63
  4. Step 4: Simplify right side
    2,712.86x = 6,571,649.45
  5. Step 5: Solve for x
    x = 6,571,649.45/2,712.86
  6. Step 6: Final answer
    x = 2,422.41

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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.