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Finding the Fourth Proportional to 1,539.83, 2,309.66 and 674.14

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Solution

The fourth proportional to 1,539.83, 2,309.66 and 674.14 is: 1,011.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,539.83 : 2,309.66 = 674.14 : x
  2. Step 2: Convert to fraction form
    1,539.83/2,309.66 = 674.14/x
  3. Step 3: Cross multiply
    1,539.83x = 2,309.66 × 674.14
  4. Step 4: Simplify right side
    1,539.83x = 1,557,034.19
  5. Step 5: Solve for x
    x = 1,557,034.19/1,539.83
  6. Step 6: Final answer
    x = 1,011.17

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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.