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Finding the Fourth Proportional to 2,080.76, 3,119.31 and 783.14

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Solution

The fourth proportional to 2,080.76, 3,119.31 and 783.14 is: 1,174.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,080.76 : 3,119.31 = 783.14 : x
  2. Step 2: Convert to fraction form
    2,080.76/3,119.31 = 783.14/x
  3. Step 3: Cross multiply
    2,080.76x = 3,119.31 × 783.14
  4. Step 4: Simplify right side
    2,080.76x = 2,442,840.84
  5. Step 5: Solve for x
    x = 2,442,840.84/2,080.76
  6. Step 6: Final answer
    x = 1,174.02

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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.