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Finding the Fourth Proportional to 2,277.77, 3,416.36 and 634.19

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Solution

The fourth proportional to 2,277.77, 3,416.36 and 634.19 is: 951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.77 : 3,416.36 = 634.19 : x
  2. Step 2: Convert to fraction form
    2,277.77/3,416.36 = 634.19/x
  3. Step 3: Cross multiply
    2,277.77x = 3,416.36 × 634.19
  4. Step 4: Simplify right side
    2,277.77x = 2,166,601.10
  5. Step 5: Solve for x
    x = 2,166,601.10/2,277.77
  6. Step 6: Final answer
    x = 951.20

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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.