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Finding the Fourth Proportional to 2,762.56, 3,810.45 and 1,965.70

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Solution

The fourth proportional to 2,762.56, 3,810.45 and 1,965.70 is: 2,711.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,762.56 : 3,810.45 = 1,965.70 : x
  2. Step 2: Convert to fraction form
    2,762.56/3,810.45 = 1,965.70/x
  3. Step 3: Cross multiply
    2,762.56x = 3,810.45 × 1,965.70
  4. Step 4: Simplify right side
    2,762.56x = 7,490,201.57
  5. Step 5: Solve for x
    x = 7,490,201.57/2,762.56
  6. Step 6: Final answer
    x = 2,711.33

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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.