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Finding the Fourth Proportional to 1,973.27, 2,959.85 and 723.90

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Solution

The fourth proportional to 1,973.27, 2,959.85 and 723.90 is: 1,085.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973.27 : 2,959.85 = 723.90 : x
  2. Step 2: Convert to fraction form
    1,973.27/2,959.85 = 723.90/x
  3. Step 3: Cross multiply
    1,973.27x = 2,959.85 × 723.90
  4. Step 4: Simplify right side
    1,973.27x = 2,142,631.80
  5. Step 5: Solve for x
    x = 2,142,631.80/1,973.27
  6. Step 6: Final answer
    x = 1,085.83

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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.