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Finding the Fourth Proportional to 2,076.15, 3,114.05 and 689.03

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Solution

The fourth proportional to 2,076.15, 3,114.05 and 689.03 is: 1,033.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.15 : 3,114.05 = 689.03 : x
  2. Step 2: Convert to fraction form
    2,076.15/3,114.05 = 689.03/x
  3. Step 3: Cross multiply
    2,076.15x = 3,114.05 × 689.03
  4. Step 4: Simplify right side
    2,076.15x = 2,145,678.21
  5. Step 5: Solve for x
    x = 2,145,678.21/2,076.15
  6. Step 6: Final answer
    x = 1,033.49

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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.