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Finding the Fourth Proportional to 2,358.28, 3,529.48 and 2,174.80

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Solution

The fourth proportional to 2,358.28, 3,529.48 and 2,174.80 is: 3,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.28 : 3,529.48 = 2,174.80 : x
  2. Step 2: Convert to fraction form
    2,358.28/3,529.48 = 2,174.80/x
  3. Step 3: Cross multiply
    2,358.28x = 3,529.48 × 2,174.80
  4. Step 4: Simplify right side
    2,358.28x = 7,675,913.10
  5. Step 5: Solve for x
    x = 7,675,913.10/2,358.28
  6. Step 6: Final answer
    x = 3,254.88

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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.