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Finding the Fourth Proportional to 2,296.34, 3,445.88 and 997.82

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Solution

The fourth proportional to 2,296.34, 3,445.88 and 997.82 is: 1,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.34 : 3,445.88 = 997.82 : x
  2. Step 2: Convert to fraction form
    2,296.34/3,445.88 = 997.82/x
  3. Step 3: Cross multiply
    2,296.34x = 3,445.88 × 997.82
  4. Step 4: Simplify right side
    2,296.34x = 3,438,345.76
  5. Step 5: Solve for x
    x = 3,438,345.76/2,296.34
  6. Step 6: Final answer
    x = 1,497.32

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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.