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Finding the Fourth Proportional to 2,353.07, 3,529.54 and 621.70

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Solution

The fourth proportional to 2,353.07, 3,529.54 and 621.70 is: 932.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,353.07 : 3,529.54 = 621.70 : x
  2. Step 2: Convert to fraction form
    2,353.07/3,529.54 = 621.70/x
  3. Step 3: Cross multiply
    2,353.07x = 3,529.54 × 621.70
  4. Step 4: Simplify right side
    2,353.07x = 2,194,315.02
  5. Step 5: Solve for x
    x = 2,194,315.02/2,353.07
  6. Step 6: Final answer
    x = 932.53

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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.