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Finding the Fourth Proportional to 2,047.66, 3,070.45 and 814.40

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Solution

The fourth proportional to 2,047.66, 3,070.45 and 814.40 is: 1,221.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.66 : 3,070.45 = 814.40 : x
  2. Step 2: Convert to fraction form
    2,047.66/3,070.45 = 814.40/x
  3. Step 3: Cross multiply
    2,047.66x = 3,070.45 × 814.40
  4. Step 4: Simplify right side
    2,047.66x = 2,500,571.66
  5. Step 5: Solve for x
    x = 2,500,571.66/2,047.66
  6. Step 6: Final answer
    x = 1,221.19

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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.