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Finding the Fourth Proportional to 4,614.77, 6,923.07 and 1,693.10

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Solution

The fourth proportional to 4,614.77, 6,923.07 and 1,693.10 is: 2,539.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.77 : 6,923.07 = 1,693.10 : x
  2. Step 2: Convert to fraction form
    4,614.77/6,923.07 = 1,693.10/x
  3. Step 3: Cross multiply
    4,614.77x = 6,923.07 × 1,693.10
  4. Step 4: Simplify right side
    4,614.77x = 11,721,449.82
  5. Step 5: Solve for x
    x = 11,721,449.82/4,614.77
  6. Step 6: Final answer
    x = 2,539.99

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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.