Home / 2,047.02-3,068.46-814.20

Finding the Fourth Proportional to 2,047.02, 3,068.46 and 814.20

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Solution

The fourth proportional to 2,047.02, 3,068.46 and 814.20 is: 1,220.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.02 : 3,068.46 = 814.20 : x
  2. Step 2: Convert to fraction form
    2,047.02/3,068.46 = 814.20/x
  3. Step 3: Cross multiply
    2,047.02x = 3,068.46 × 814.20
  4. Step 4: Simplify right side
    2,047.02x = 2,498,340.13
  5. Step 5: Solve for x
    x = 2,498,340.13/2,047.02
  6. Step 6: Final answer
    x = 1,220.48

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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.