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Finding the Fourth Proportional to 2,277.34, 3,416.37 and 816.46

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Solution

The fourth proportional to 2,277.34, 3,416.37 and 816.46 is: 1,224.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.34 : 3,416.37 = 816.46 : x
  2. Step 2: Convert to fraction form
    2,277.34/3,416.37 = 816.46/x
  3. Step 3: Cross multiply
    2,277.34x = 3,416.37 × 816.46
  4. Step 4: Simplify right side
    2,277.34x = 2,789,329.45
  5. Step 5: Solve for x
    x = 2,789,329.45/2,277.34
  6. Step 6: Final answer
    x = 1,224.82

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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.