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Finding the Fourth Proportional to 2,330.87, 3,496.43 and 944.17

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Solution

The fourth proportional to 2,330.87, 3,496.43 and 944.17 is: 1,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.87 : 3,496.43 = 944.17 : x
  2. Step 2: Convert to fraction form
    2,330.87/3,496.43 = 944.17/x
  3. Step 3: Cross multiply
    2,330.87x = 3,496.43 × 944.17
  4. Step 4: Simplify right side
    2,330.87x = 3,301,224.31
  5. Step 5: Solve for x
    x = 3,301,224.31/2,330.87
  6. Step 6: Final answer
    x = 1,416.31

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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.