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Finding the Fourth Proportional to 2,098.14, 3,147.09 and 711.01

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Solution

The fourth proportional to 2,098.14, 3,147.09 and 711.01 is: 1,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,098.14 : 3,147.09 = 711.01 : x
  2. Step 2: Convert to fraction form
    2,098.14/3,147.09 = 711.01/x
  3. Step 3: Cross multiply
    2,098.14x = 3,147.09 × 711.01
  4. Step 4: Simplify right side
    2,098.14x = 2,237,612.46
  5. Step 5: Solve for x
    x = 2,237,612.46/2,098.14
  6. Step 6: Final answer
    x = 1,066.47

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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.