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Finding the Fourth Proportional to 2,330.56, 3,497.06 and 944.92

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Solution

The fourth proportional to 2,330.56, 3,497.06 and 944.92 is: 1,417.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.56 : 3,497.06 = 944.92 : x
  2. Step 2: Convert to fraction form
    2,330.56/3,497.06 = 944.92/x
  3. Step 3: Cross multiply
    2,330.56x = 3,497.06 × 944.92
  4. Step 4: Simplify right side
    2,330.56x = 3,304,441.94
  5. Step 5: Solve for x
    x = 3,304,441.94/2,330.56
  6. Step 6: Final answer
    x = 1,417.87

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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.