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Finding the Fourth Proportional to 2,995.96, 4,490.90 and 1,146.60

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Solution

The fourth proportional to 2,995.96, 4,490.90 and 1,146.60 is: 1,718.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.96 : 4,490.90 = 1,146.60 : x
  2. Step 2: Convert to fraction form
    2,995.96/4,490.90 = 1,146.60/x
  3. Step 3: Cross multiply
    2,995.96x = 4,490.90 × 1,146.60
  4. Step 4: Simplify right side
    2,995.96x = 5,149,265.94
  5. Step 5: Solve for x
    x = 5,149,265.94/2,995.96
  6. Step 6: Final answer
    x = 1,718.74

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Why These Related Problems?

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