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Finding the Fourth Proportional to 2,965.50, 4,449.01 and 1,116.63

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Solution

The fourth proportional to 2,965.50, 4,449.01 and 1,116.63 is: 1,675.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,965.50 : 4,449.01 = 1,116.63 : x
  2. Step 2: Convert to fraction form
    2,965.50/4,449.01 = 1,116.63/x
  3. Step 3: Cross multiply
    2,965.50x = 4,449.01 × 1,116.63
  4. Step 4: Simplify right side
    2,965.50x = 4,967,875.79
  5. Step 5: Solve for x
    x = 4,967,875.79/2,965.50
  6. Step 6: Final answer
    x = 1,675.23

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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.