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Finding the Fourth Proportional to 2,351.98, 3,529.64 and 966.58

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Solution

The fourth proportional to 2,351.98, 3,529.64 and 966.58 is: 1,450.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,351.98 : 3,529.64 = 966.58 : x
  2. Step 2: Convert to fraction form
    2,351.98/3,529.64 = 966.58/x
  3. Step 3: Cross multiply
    2,351.98x = 3,529.64 × 966.58
  4. Step 4: Simplify right side
    2,351.98x = 3,411,661.78
  5. Step 5: Solve for x
    x = 3,411,661.78/2,351.98
  6. Step 6: Final answer
    x = 1,450.55

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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.