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Finding the Fourth Proportional to 2,955.69, 4,434.30 and 1,106.83

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Solution

The fourth proportional to 2,955.69, 4,434.30 and 1,106.83 is: 1,660.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.69 : 4,434.30 = 1,106.83 : x
  2. Step 2: Convert to fraction form
    2,955.69/4,434.30 = 1,106.83/x
  3. Step 3: Cross multiply
    2,955.69x = 4,434.30 × 1,106.83
  4. Step 4: Simplify right side
    2,955.69x = 4,908,010.73
  5. Step 5: Solve for x
    x = 4,908,010.73/2,955.69
  6. Step 6: Final answer
    x = 1,660.53

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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.