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Finding the Fourth Proportional to 2,073.07, 3,108.93 and 686.14

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Solution

The fourth proportional to 2,073.07, 3,108.93 and 686.14 is: 1,028.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,073.07 : 3,108.93 = 686.14 : x
  2. Step 2: Convert to fraction form
    2,073.07/3,108.93 = 686.14/x
  3. Step 3: Cross multiply
    2,073.07x = 3,108.93 × 686.14
  4. Step 4: Simplify right side
    2,073.07x = 2,133,161.23
  5. Step 5: Solve for x
    x = 2,133,161.23/2,073.07
  6. Step 6: Final answer
    x = 1,028.99

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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.