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Finding the Fourth Proportional to 2,374.75, 3,562.14 and 643.39

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Solution

The fourth proportional to 2,374.75, 3,562.14 and 643.39 is: 965.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.75 : 3,562.14 = 643.39 : x
  2. Step 2: Convert to fraction form
    2,374.75/3,562.14 = 643.39/x
  3. Step 3: Cross multiply
    2,374.75x = 3,562.14 × 643.39
  4. Step 4: Simplify right side
    2,374.75x = 2,291,845.25
  5. Step 5: Solve for x
    x = 2,291,845.25/2,374.75
  6. Step 6: Final answer
    x = 965.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.