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Finding the Fourth Proportional to 2,496.00, 3,442.96 and 1,599.44

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Solution

The fourth proportional to 2,496.00, 3,442.96 and 1,599.44 is: 2,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.00 : 3,442.96 = 1,599.44 : x
  2. Step 2: Convert to fraction form
    2,496.00/3,442.96 = 1,599.44/x
  3. Step 3: Cross multiply
    2,496.00x = 3,442.96 × 1,599.44
  4. Step 4: Simplify right side
    2,496.00x = 5,506,814.69
  5. Step 5: Solve for x
    x = 5,506,814.69/2,496.00
  6. Step 6: Final answer
    x = 2,206.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.