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Finding the Fourth Proportional to 2,308.52, 3,188.41 and 1,681.85

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Solution

The fourth proportional to 2,308.52, 3,188.41 and 1,681.85 is: 2,322.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,308.52 : 3,188.41 = 1,681.85 : x
  2. Step 2: Convert to fraction form
    2,308.52/3,188.41 = 1,681.85/x
  3. Step 3: Cross multiply
    2,308.52x = 3,188.41 × 1,681.85
  4. Step 4: Simplify right side
    2,308.52x = 5,362,440.59
  5. Step 5: Solve for x
    x = 5,362,440.59/2,308.52
  6. Step 6: Final answer
    x = 2,322.89

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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.