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Finding the Fourth Proportional to 2,099.98, 3,148.98 and 713.08

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Solution

The fourth proportional to 2,099.98, 3,148.98 and 713.08 is: 1,069.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099.98 : 3,148.98 = 713.08 : x
  2. Step 2: Convert to fraction form
    2,099.98/3,148.98 = 713.08/x
  3. Step 3: Cross multiply
    2,099.98x = 3,148.98 × 713.08
  4. Step 4: Simplify right side
    2,099.98x = 2,245,474.66
  5. Step 5: Solve for x
    x = 2,245,474.66/2,099.98
  6. Step 6: Final answer
    x = 1,069.28

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1.5x scale

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.