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Finding the Fourth Proportional to 2,473.16, 3,710.14 and 806.78

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Solution

The fourth proportional to 2,473.16, 3,710.14 and 806.78 is: 1,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,473.16 : 3,710.14 = 806.78 : x
  2. Step 2: Convert to fraction form
    2,473.16/3,710.14 = 806.78/x
  3. Step 3: Cross multiply
    2,473.16x = 3,710.14 × 806.78
  4. Step 4: Simplify right side
    2,473.16x = 2,993,274.01
  5. Step 5: Solve for x
    x = 2,993,274.01/2,473.16
  6. Step 6: Final answer
    x = 1,210.31

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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.