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Finding the Fourth Proportional to 2,099.40, 2,896.08 and 1,630.38

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Solution

The fourth proportional to 2,099.40, 2,896.08 and 1,630.38 is: 2,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.40 : 2,896.08 = 1,630.38 : x
  2. Step 2: Convert to fraction form
    2,099.40/2,896.08 = 1,630.38/x
  3. Step 3: Cross multiply
    2,099.40x = 2,896.08 × 1,630.38
  4. Step 4: Simplify right side
    2,099.40x = 4,721,710.91
  5. Step 5: Solve for x
    x = 4,721,710.91/2,099.40
  6. Step 6: Final answer
    x = 2,249.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.