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Finding the Fourth Proportional to 2,356.96, 3,535.38 and 625.60

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Solution

The fourth proportional to 2,356.96, 3,535.38 and 625.60 is: 938.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356.96 : 3,535.38 = 625.60 : x
  2. Step 2: Convert to fraction form
    2,356.96/3,535.38 = 625.60/x
  3. Step 3: Cross multiply
    2,356.96x = 3,535.38 × 625.60
  4. Step 4: Simplify right side
    2,356.96x = 2,211,733.73
  5. Step 5: Solve for x
    x = 2,211,733.73/2,356.96
  6. Step 6: Final answer
    x = 938.38

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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.