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Finding the Fourth Proportional to 2,291.01, 3,436.58 and 992.44

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Solution

The fourth proportional to 2,291.01, 3,436.58 and 992.44 is: 1,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.01 : 3,436.58 = 992.44 : x
  2. Step 2: Convert to fraction form
    2,291.01/3,436.58 = 992.44/x
  3. Step 3: Cross multiply
    2,291.01x = 3,436.58 × 992.44
  4. Step 4: Simplify right side
    2,291.01x = 3,410,599.46
  5. Step 5: Solve for x
    x = 3,410,599.46/2,291.01
  6. Step 6: Final answer
    x = 1,488.69

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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.