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Finding the Fourth Proportional to 2,276.91, 3,415.19 and 816.10

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Solution

The fourth proportional to 2,276.91, 3,415.19 and 816.10 is: 1,224.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,276.91 : 3,415.19 = 816.10 : x
  2. Step 2: Convert to fraction form
    2,276.91/3,415.19 = 816.10/x
  3. Step 3: Cross multiply
    2,276.91x = 3,415.19 × 816.10
  4. Step 4: Simplify right side
    2,276.91x = 2,787,123.94
  5. Step 5: Solve for x
    x = 2,787,123.94/2,276.91
  6. Step 6: Final answer
    x = 1,224.08

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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.