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Finding the Fourth Proportional to 2,357.76, 3,513.24 and 2,099.28

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Solution

The fourth proportional to 2,357.76, 3,513.24 and 2,099.28 is: 3,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.76 : 3,513.24 = 2,099.28 : x
  2. Step 2: Convert to fraction form
    2,357.76/3,513.24 = 2,099.28/x
  3. Step 3: Cross multiply
    2,357.76x = 3,513.24 × 2,099.28
  4. Step 4: Simplify right side
    2,357.76x = 7,375,274.47
  5. Step 5: Solve for x
    x = 7,375,274.47/2,357.76
  6. Step 6: Final answer
    x = 3,128.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.