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Finding the Fourth Proportional to 2,964.50, 4,437.08 and 2,184.19

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Solution

The fourth proportional to 2,964.50, 4,437.08 and 2,184.19 is: 3,269.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.50 : 4,437.08 = 2,184.19 : x
  2. Step 2: Convert to fraction form
    2,964.50/4,437.08 = 2,184.19/x
  3. Step 3: Cross multiply
    2,964.50x = 4,437.08 × 2,184.19
  4. Step 4: Simplify right side
    2,964.50x = 9,691,403.58
  5. Step 5: Solve for x
    x = 9,691,403.58/2,964.50
  6. Step 6: Final answer
    x = 3,269.16

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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.