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Finding the Fourth Proportional to 2,646.45, 3,649.91 and 1,984.77

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Solution

The fourth proportional to 2,646.45, 3,649.91 and 1,984.77 is: 2,737.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.45 : 3,649.91 = 1,984.77 : x
  2. Step 2: Convert to fraction form
    2,646.45/3,649.91 = 1,984.77/x
  3. Step 3: Cross multiply
    2,646.45x = 3,649.91 × 1,984.77
  4. Step 4: Simplify right side
    2,646.45x = 7,244,221.95
  5. Step 5: Solve for x
    x = 7,244,221.95/2,646.45
  6. Step 6: Final answer
    x = 2,737.34

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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.