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Finding the Fourth Proportional to 2,358.27, 3,536.78 and 897.44

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Solution

The fourth proportional to 2,358.27, 3,536.78 and 897.44 is: 1,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358.27 : 3,536.78 = 897.44 : x
  2. Step 2: Convert to fraction form
    2,358.27/3,536.78 = 897.44/x
  3. Step 3: Cross multiply
    2,358.27x = 3,536.78 × 897.44
  4. Step 4: Simplify right side
    2,358.27x = 3,174,025.67
  5. Step 5: Solve for x
    x = 3,174,025.67/2,358.27
  6. Step 6: Final answer
    x = 1,345.91

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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.