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Finding the Fourth Proportional to 2,100.02, 3,149.40 and 713.06

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Solution

The fourth proportional to 2,100.02, 3,149.40 and 713.06 is: 1,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.02 : 3,149.40 = 713.06 : x
  2. Step 2: Convert to fraction form
    2,100.02/3,149.40 = 713.06/x
  3. Step 3: Cross multiply
    2,100.02x = 3,149.40 × 713.06
  4. Step 4: Simplify right side
    2,100.02x = 2,245,711.16
  5. Step 5: Solve for x
    x = 2,245,711.16/2,100.02
  6. Step 6: Final answer
    x = 1,069.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.