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Finding the Fourth Proportional to 2,296.62, 3,444.99 and 1,521.58

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Solution

The fourth proportional to 2,296.62, 3,444.99 and 1,521.58 is: 2,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.62 : 3,444.99 = 1,521.58 : x
  2. Step 2: Convert to fraction form
    2,296.62/3,444.99 = 1,521.58/x
  3. Step 3: Cross multiply
    2,296.62x = 3,444.99 × 1,521.58
  4. Step 4: Simplify right side
    2,296.62x = 5,241,827.88
  5. Step 5: Solve for x
    x = 5,241,827.88/2,296.62
  6. Step 6: Final answer
    x = 2,282.41

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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.