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Finding the Fourth Proportional to 2,458.20, 3,688.28 and 898.31

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Solution

The fourth proportional to 2,458.20, 3,688.28 and 898.31 is: 1,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.20 : 3,688.28 = 898.31 : x
  2. Step 2: Convert to fraction form
    2,458.20/3,688.28 = 898.31/x
  3. Step 3: Cross multiply
    2,458.20x = 3,688.28 × 898.31
  4. Step 4: Simplify right side
    2,458.20x = 3,313,195.87
  5. Step 5: Solve for x
    x = 3,313,195.87/2,458.20
  6. Step 6: Final answer
    x = 1,347.81

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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.