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Finding the Fourth Proportional to 1,694.11, 2,337.74 and 947.93

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Solution

The fourth proportional to 1,694.11, 2,337.74 and 947.93 is: 1,308.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,694.11 : 2,337.74 = 947.93 : x
  2. Step 2: Convert to fraction form
    1,694.11/2,337.74 = 947.93/x
  3. Step 3: Cross multiply
    1,694.11x = 2,337.74 × 947.93
  4. Step 4: Simplify right side
    1,694.11x = 2,216,016.25
  5. Step 5: Solve for x
    x = 2,216,016.25/1,694.11
  6. Step 6: Final answer
    x = 1,308.07

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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.