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Finding the Fourth Proportional to 2,366.10, 3,548.70 and 634.86

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Solution

The fourth proportional to 2,366.10, 3,548.70 and 634.86 is: 952.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,366.10 : 3,548.70 = 634.86 : x
  2. Step 2: Convert to fraction form
    2,366.10/3,548.70 = 634.86/x
  3. Step 3: Cross multiply
    2,366.10x = 3,548.70 × 634.86
  4. Step 4: Simplify right side
    2,366.10x = 2,252,927.68
  5. Step 5: Solve for x
    x = 2,252,927.68/2,366.10
  6. Step 6: Final answer
    x = 952.17

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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.