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Finding the Fourth Proportional to 2,277.65, 3,416.59 and 634.19

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Solution

The fourth proportional to 2,277.65, 3,416.59 and 634.19 is: 951.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,277.65 : 3,416.59 = 634.19 : x
  2. Step 2: Convert to fraction form
    2,277.65/3,416.59 = 634.19/x
  3. Step 3: Cross multiply
    2,277.65x = 3,416.59 × 634.19
  4. Step 4: Simplify right side
    2,277.65x = 2,166,748.54
  5. Step 5: Solve for x
    x = 2,166,748.54/2,277.65
  6. Step 6: Final answer
    x = 951.31

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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.