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Finding the Fourth Proportional to 2,099.16, 3,148.57 and 539.22

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Solution

The fourth proportional to 2,099.16, 3,148.57 and 539.22 is: 808.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.16 : 3,148.57 = 539.22 : x
  2. Step 2: Convert to fraction form
    2,099.16/3,148.57 = 539.22/x
  3. Step 3: Cross multiply
    2,099.16x = 3,148.57 × 539.22
  4. Step 4: Simplify right side
    2,099.16x = 1,697,784.40
  5. Step 5: Solve for x
    x = 1,697,784.40/2,099.16
  6. Step 6: Final answer
    x = 808.79

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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.