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Finding the Fourth Proportional to 2,813.77, 4,220.18 and 964.94

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Solution

The fourth proportional to 2,813.77, 4,220.18 and 964.94 is: 1,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.77 : 4,220.18 = 964.94 : x
  2. Step 2: Convert to fraction form
    2,813.77/4,220.18 = 964.94/x
  3. Step 3: Cross multiply
    2,813.77x = 4,220.18 × 964.94
  4. Step 4: Simplify right side
    2,813.77x = 4,072,215.66
  5. Step 5: Solve for x
    x = 4,072,215.66/2,813.77
  6. Step 6: Final answer
    x = 1,447.25

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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.