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Finding the Fourth Proportional to 1,667.71, 2,301.30 and 968.95

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Solution

The fourth proportional to 1,667.71, 2,301.30 and 968.95 is: 1,337.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,667.71 : 2,301.30 = 968.95 : x
  2. Step 2: Convert to fraction form
    1,667.71/2,301.30 = 968.95/x
  3. Step 3: Cross multiply
    1,667.71x = 2,301.30 × 968.95
  4. Step 4: Simplify right side
    1,667.71x = 2,229,844.64
  5. Step 5: Solve for x
    x = 2,229,844.64/1,667.71
  6. Step 6: Final answer
    x = 1,337.07

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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.