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Finding the Fourth Proportional to 2,102.66, 3,139.21 and 1,606.47

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Solution

The fourth proportional to 2,102.66, 3,139.21 and 1,606.47 is: 2,398.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.66 : 3,139.21 = 1,606.47 : x
  2. Step 2: Convert to fraction form
    2,102.66/3,139.21 = 1,606.47/x
  3. Step 3: Cross multiply
    2,102.66x = 3,139.21 × 1,606.47
  4. Step 4: Simplify right side
    2,102.66x = 5,043,042.67
  5. Step 5: Solve for x
    x = 5,043,042.67/2,102.66
  6. Step 6: Final answer
    x = 2,398.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.