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Finding the Fourth Proportional to 2,673.21, 3,686.65 and 1,678.58

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Solution

The fourth proportional to 2,673.21, 3,686.65 and 1,678.58 is: 2,314.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.21 : 3,686.65 = 1,678.58 : x
  2. Step 2: Convert to fraction form
    2,673.21/3,686.65 = 1,678.58/x
  3. Step 3: Cross multiply
    2,673.21x = 3,686.65 × 1,678.58
  4. Step 4: Simplify right side
    2,673.21x = 6,188,348.89
  5. Step 5: Solve for x
    x = 6,188,348.89/2,673.21
  6. Step 6: Final answer
    x = 2,314.95

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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.