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Finding the Fourth Proportional to 2,352.83, 3,530.40 and 966.59

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Solution

The fourth proportional to 2,352.83, 3,530.40 and 966.59 is: 1,450.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,352.83 : 3,530.40 = 966.59 : x
  2. Step 2: Convert to fraction form
    2,352.83/3,530.40 = 966.59/x
  3. Step 3: Cross multiply
    2,352.83x = 3,530.40 × 966.59
  4. Step 4: Simplify right side
    2,352.83x = 3,412,426.85
  5. Step 5: Solve for x
    x = 3,412,426.85/2,352.83
  6. Step 6: Final answer
    x = 1,450.35

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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.