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Finding the Fourth Proportional to 2,995.94, 4,496.67 and 1,516.20

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Solution

The fourth proportional to 2,995.94, 4,496.67 and 1,516.20 is: 2,275.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.94 : 4,496.67 = 1,516.20 : x
  2. Step 2: Convert to fraction form
    2,995.94/4,496.67 = 1,516.20/x
  3. Step 3: Cross multiply
    2,995.94x = 4,496.67 × 1,516.20
  4. Step 4: Simplify right side
    2,995.94x = 6,817,851.05
  5. Step 5: Solve for x
    x = 6,817,851.05/2,995.94
  6. Step 6: Final answer
    x = 2,275.70

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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.