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Finding the Fourth Proportional to 2,762.83, 3,813.51 and 2,207.17

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Solution

The fourth proportional to 2,762.83, 3,813.51 and 2,207.17 is: 3,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.83 : 3,813.51 = 2,207.17 : x
  2. Step 2: Convert to fraction form
    2,762.83/3,813.51 = 2,207.17/x
  3. Step 3: Cross multiply
    2,762.83x = 3,813.51 × 2,207.17
  4. Step 4: Simplify right side
    2,762.83x = 8,417,064.87
  5. Step 5: Solve for x
    x = 8,417,064.87/2,762.83
  6. Step 6: Final answer
    x = 3,046.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.