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Finding the Fourth Proportional to 2,359.41, 3,538.31 and 898.98

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Solution

The fourth proportional to 2,359.41, 3,538.31 and 898.98 is: 1,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.41 : 3,538.31 = 898.98 : x
  2. Step 2: Convert to fraction form
    2,359.41/3,538.31 = 898.98/x
  3. Step 3: Cross multiply
    2,359.41x = 3,538.31 × 898.98
  4. Step 4: Simplify right side
    2,359.41x = 3,180,865.43
  5. Step 5: Solve for x
    x = 3,180,865.43/2,359.41
  6. Step 6: Final answer
    x = 1,348.16

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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.