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Finding the Fourth Proportional to 2,083.35, 3,124.95 and 622.47

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Solution

The fourth proportional to 2,083.35, 3,124.95 and 622.47 is: 933.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.35 : 3,124.95 = 622.47 : x
  2. Step 2: Convert to fraction form
    2,083.35/3,124.95 = 622.47/x
  3. Step 3: Cross multiply
    2,083.35x = 3,124.95 × 622.47
  4. Step 4: Simplify right side
    2,083.35x = 1,945,187.63
  5. Step 5: Solve for x
    x = 1,945,187.63/2,083.35
  6. Step 6: Final answer
    x = 933.68

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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.