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Finding the Fourth Proportional to 2,099.06, 3,148.70 and 712.44

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Solution

The fourth proportional to 2,099.06, 3,148.70 and 712.44 is: 1,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.06 : 3,148.70 = 712.44 : x
  2. Step 2: Convert to fraction form
    2,099.06/3,148.70 = 712.44/x
  3. Step 3: Cross multiply
    2,099.06x = 3,148.70 × 712.44
  4. Step 4: Simplify right side
    2,099.06x = 2,243,259.83
  5. Step 5: Solve for x
    x = 2,243,259.83/2,099.06
  6. Step 6: Final answer
    x = 1,068.70

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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.