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Finding the Fourth Proportional to 2,330.66, 3,496.13 and 943.97

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Solution

The fourth proportional to 2,330.66, 3,496.13 and 943.97 is: 1,416.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.66 : 3,496.13 = 943.97 : x
  2. Step 2: Convert to fraction form
    2,330.66/3,496.13 = 943.97/x
  3. Step 3: Cross multiply
    2,330.66x = 3,496.13 × 943.97
  4. Step 4: Simplify right side
    2,330.66x = 3,300,223.18
  5. Step 5: Solve for x
    x = 3,300,223.18/2,330.66
  6. Step 6: Final answer
    x = 1,416.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.