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Finding the Fourth Proportional to 2,497.70, 3,421.83 and 2,404.23

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Solution

The fourth proportional to 2,497.70, 3,421.83 and 2,404.23 is: 3,293.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.70 : 3,421.83 = 2,404.23 : x
  2. Step 2: Convert to fraction form
    2,497.70/3,421.83 = 2,404.23/x
  3. Step 3: Cross multiply
    2,497.70x = 3,421.83 × 2,404.23
  4. Step 4: Simplify right side
    2,497.70x = 8,226,866.34
  5. Step 5: Solve for x
    x = 8,226,866.34/2,497.70
  6. Step 6: Final answer
    x = 3,293.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.