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Finding the Fourth Proportional to 2,284.32, 3,424.32 and 898.56

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Solution

The fourth proportional to 2,284.32, 3,424.32 and 898.56 is: 1,346.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.32 : 3,424.32 = 898.56 : x
  2. Step 2: Convert to fraction form
    2,284.32/3,424.32 = 898.56/x
  3. Step 3: Cross multiply
    2,284.32x = 3,424.32 × 898.56
  4. Step 4: Simplify right side
    2,284.32x = 3,076,956.98
  5. Step 5: Solve for x
    x = 3,076,956.98/2,284.32
  6. Step 6: Final answer
    x = 1,346.99

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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.