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Finding the Fourth Proportional to 2,352.58, 3,529.14 and 621.34

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Solution

The fourth proportional to 2,352.58, 3,529.14 and 621.34 is: 932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.58 : 3,529.14 = 621.34 : x
  2. Step 2: Convert to fraction form
    2,352.58/3,529.14 = 621.34/x
  3. Step 3: Cross multiply
    2,352.58x = 3,529.14 × 621.34
  4. Step 4: Simplify right side
    2,352.58x = 2,192,795.85
  5. Step 5: Solve for x
    x = 2,192,795.85/2,352.58
  6. Step 6: Final answer
    x = 932.08

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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.