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Finding the Fourth Proportional to 2,298.30, 3,445.52 and 998.79

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Solution

The fourth proportional to 2,298.30, 3,445.52 and 998.79 is: 1,497.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.30 : 3,445.52 = 998.79 : x
  2. Step 2: Convert to fraction form
    2,298.30/3,445.52 = 998.79/x
  3. Step 3: Cross multiply
    2,298.30x = 3,445.52 × 998.79
  4. Step 4: Simplify right side
    2,298.30x = 3,441,345.93
  5. Step 5: Solve for x
    x = 3,441,345.93/2,298.30
  6. Step 6: Final answer
    x = 1,497.34

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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.