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Finding the Fourth Proportional to 2,671.17, 3,686.93 and 1,536.97

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Solution

The fourth proportional to 2,671.17, 3,686.93 and 1,536.97 is: 2,121.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,671.17 : 3,686.93 = 1,536.97 : x
  2. Step 2: Convert to fraction form
    2,671.17/3,686.93 = 1,536.97/x
  3. Step 3: Cross multiply
    2,671.17x = 3,686.93 × 1,536.97
  4. Step 4: Simplify right side
    2,671.17x = 5,666,699.46
  5. Step 5: Solve for x
    x = 5,666,699.46/2,671.17
  6. Step 6: Final answer
    x = 2,121.43

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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.