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Finding the Fourth Proportional to 2,296.55, 3,444.75 and 998.02

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Solution

The fourth proportional to 2,296.55, 3,444.75 and 998.02 is: 1,497.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.55 : 3,444.75 = 998.02 : x
  2. Step 2: Convert to fraction form
    2,296.55/3,444.75 = 998.02/x
  3. Step 3: Cross multiply
    2,296.55x = 3,444.75 × 998.02
  4. Step 4: Simplify right side
    2,296.55x = 3,437,936.51
  5. Step 5: Solve for x
    x = 3,437,936.51/2,296.55
  6. Step 6: Final answer
    x = 1,497.00

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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.