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Finding the Fourth Proportional to 2,280.65, 3,421.35 and 964.42

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Solution

The fourth proportional to 2,280.65, 3,421.35 and 964.42 is: 1,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.65 : 3,421.35 = 964.42 : x
  2. Step 2: Convert to fraction form
    2,280.65/3,421.35 = 964.42/x
  3. Step 3: Cross multiply
    2,280.65x = 3,421.35 × 964.42
  4. Step 4: Simplify right side
    2,280.65x = 3,299,618.37
  5. Step 5: Solve for x
    x = 3,299,618.37/2,280.65
  6. Step 6: Final answer
    x = 1,446.79

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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.