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Finding the Fourth Proportional to 2,680.34, 3,699.07 and 1,686.47

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Solution

The fourth proportional to 2,680.34, 3,699.07 and 1,686.47 is: 2,327.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,680.34 : 3,699.07 = 1,686.47 : x
  2. Step 2: Convert to fraction form
    2,680.34/3,699.07 = 1,686.47/x
  3. Step 3: Cross multiply
    2,680.34x = 3,699.07 × 1,686.47
  4. Step 4: Simplify right side
    2,680.34x = 6,238,347.87
  5. Step 5: Solve for x
    x = 6,238,347.87/2,680.34
  6. Step 6: Final answer
    x = 2,327.45

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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.