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Finding the Fourth Proportional to 2,004.82, 3,008.43 and 707.20

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Solution

The fourth proportional to 2,004.82, 3,008.43 and 707.20 is: 1,061.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,004.82 : 3,008.43 = 707.20 : x
  2. Step 2: Convert to fraction form
    2,004.82/3,008.43 = 707.20/x
  3. Step 3: Cross multiply
    2,004.82x = 3,008.43 × 707.20
  4. Step 4: Simplify right side
    2,004.82x = 2,127,561.70
  5. Step 5: Solve for x
    x = 2,127,561.70/2,004.82
  6. Step 6: Final answer
    x = 1,061.22

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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.