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Finding the Fourth Proportional to 1,967.04, 2,957.04 and 1,824.48

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Solution

The fourth proportional to 1,967.04, 2,957.04 and 1,824.48 is: 2,742.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.04 : 2,957.04 = 1,824.48 : x
  2. Step 2: Convert to fraction form
    1,967.04/2,957.04 = 1,824.48/x
  3. Step 3: Cross multiply
    1,967.04x = 2,957.04 × 1,824.48
  4. Step 4: Simplify right side
    1,967.04x = 5,395,060.34
  5. Step 5: Solve for x
    x = 5,395,060.34/1,967.04
  6. Step 6: Final answer
    x = 2,742.73

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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.