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Finding the Fourth Proportional to 1,964.06, 2,943.54 and 1,500.14

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Solution

The fourth proportional to 1,964.06, 2,943.54 and 1,500.14 is: 2,248.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,964.06 : 2,943.54 = 1,500.14 : x
  2. Step 2: Convert to fraction form
    1,964.06/2,943.54 = 1,500.14/x
  3. Step 3: Cross multiply
    1,964.06x = 2,943.54 × 1,500.14
  4. Step 4: Simplify right side
    1,964.06x = 4,415,722.10
  5. Step 5: Solve for x
    x = 4,415,722.10/1,964.06
  6. Step 6: Final answer
    x = 2,248.26

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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.