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Finding the Fourth Proportional to 2,099.09, 3,148.56 and 712.41

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Solution

The fourth proportional to 2,099.09, 3,148.56 and 712.41 is: 1,068.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.09 : 3,148.56 = 712.41 : x
  2. Step 2: Convert to fraction form
    2,099.09/3,148.56 = 712.41/x
  3. Step 3: Cross multiply
    2,099.09x = 3,148.56 × 712.41
  4. Step 4: Simplify right side
    2,099.09x = 2,243,065.63
  5. Step 5: Solve for x
    x = 2,243,065.63/2,099.09
  6. Step 6: Final answer
    x = 1,068.59

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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.