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Finding the Fourth Proportional to 2,099.71, 3,148.75 and 712.81

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Solution

The fourth proportional to 2,099.71, 3,148.75 and 712.81 is: 1,068.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.71 : 3,148.75 = 712.81 : x
  2. Step 2: Convert to fraction form
    2,099.71/3,148.75 = 712.81/x
  3. Step 3: Cross multiply
    2,099.71x = 3,148.75 × 712.81
  4. Step 4: Simplify right side
    2,099.71x = 2,244,460.49
  5. Step 5: Solve for x
    x = 2,244,460.49/2,099.71
  6. Step 6: Final answer
    x = 1,068.94

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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.