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Finding the Fourth Proportional to 2,955.63, 4,432.80 and 1,105.71

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Solution

The fourth proportional to 2,955.63, 4,432.80 and 1,105.71 is: 1,658.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.63 : 4,432.80 = 1,105.71 : x
  2. Step 2: Convert to fraction form
    2,955.63/4,432.80 = 1,105.71/x
  3. Step 3: Cross multiply
    2,955.63x = 4,432.80 × 1,105.71
  4. Step 4: Simplify right side
    2,955.63x = 4,901,391.29
  5. Step 5: Solve for x
    x = 4,901,391.29/2,955.63
  6. Step 6: Final answer
    x = 1,658.32

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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.