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Finding the Fourth Proportional to 2,288.34, 3,425.14 and 1,508.98

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Solution

The fourth proportional to 2,288.34, 3,425.14 and 1,508.98 is: 2,258.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288.34 : 3,425.14 = 1,508.98 : x
  2. Step 2: Convert to fraction form
    2,288.34/3,425.14 = 1,508.98/x
  3. Step 3: Cross multiply
    2,288.34x = 3,425.14 × 1,508.98
  4. Step 4: Simplify right side
    2,288.34x = 5,168,467.76
  5. Step 5: Solve for x
    x = 5,168,467.76/2,288.34
  6. Step 6: Final answer
    x = 2,258.61

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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.