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Finding the Fourth Proportional to 2,896.69, 4,345.02 and 2,034.85

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Solution

The fourth proportional to 2,896.69, 4,345.02 and 2,034.85 is: 3,052.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,896.69 : 4,345.02 = 2,034.85 : x
  2. Step 2: Convert to fraction form
    2,896.69/4,345.02 = 2,034.85/x
  3. Step 3: Cross multiply
    2,896.69x = 4,345.02 × 2,034.85
  4. Step 4: Simplify right side
    2,896.69x = 8,841,442.22
  5. Step 5: Solve for x
    x = 8,841,442.22/2,896.69
  6. Step 6: Final answer
    x = 3,052.26

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1.5x scale

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.