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Finding the Fourth Proportional to 2,671.95, 3,686.66 and 1,552.23

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Solution

The fourth proportional to 2,671.95, 3,686.66 and 1,552.23 is: 2,141.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.95 : 3,686.66 = 1,552.23 : x
  2. Step 2: Convert to fraction form
    2,671.95/3,686.66 = 1,552.23/x
  3. Step 3: Cross multiply
    2,671.95x = 3,686.66 × 1,552.23
  4. Step 4: Simplify right side
    2,671.95x = 5,722,536.49
  5. Step 5: Solve for x
    x = 5,722,536.49/2,671.95
  6. Step 6: Final answer
    x = 2,141.71

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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.