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Finding the Fourth Proportional to 2,960.65, 4,430.50 and 2,178.80

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Solution

The fourth proportional to 2,960.65, 4,430.50 and 2,178.80 is: 3,260.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,960.65 : 4,430.50 = 2,178.80 : x
  2. Step 2: Convert to fraction form
    2,960.65/4,430.50 = 2,178.80/x
  3. Step 3: Cross multiply
    2,960.65x = 4,430.50 × 2,178.80
  4. Step 4: Simplify right side
    2,960.65x = 9,653,162.41
  5. Step 5: Solve for x
    x = 9,653,162.41/2,960.65
  6. Step 6: Final answer
    x = 3,260.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.