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Finding the Fourth Proportional to 2,374.98, 3,562.47 and 643.61

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Solution

The fourth proportional to 2,374.98, 3,562.47 and 643.61 is: 965.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.98 : 3,562.47 = 643.61 : x
  2. Step 2: Convert to fraction form
    2,374.98/3,562.47 = 643.61/x
  3. Step 3: Cross multiply
    2,374.98x = 3,562.47 × 643.61
  4. Step 4: Simplify right side
    2,374.98x = 2,292,821.90
  5. Step 5: Solve for x
    x = 2,292,821.90/2,374.98
  6. Step 6: Final answer
    x = 965.41

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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.