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Finding the Fourth Proportional to 2,699.90, 3,724.47 and 1,816.59

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Solution

The fourth proportional to 2,699.90, 3,724.47 and 1,816.59 is: 2,505.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,699.90 : 3,724.47 = 1,816.59 : x
  2. Step 2: Convert to fraction form
    2,699.90/3,724.47 = 1,816.59/x
  3. Step 3: Cross multiply
    2,699.90x = 3,724.47 × 1,816.59
  4. Step 4: Simplify right side
    2,699.90x = 6,765,834.96
  5. Step 5: Solve for x
    x = 6,765,834.96/2,699.90
  6. Step 6: Final answer
    x = 2,505.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.