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Finding the Fourth Proportional to 2,761.65, 3,812.31 and 1,642.98

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Solution

The fourth proportional to 2,761.65, 3,812.31 and 1,642.98 is: 2,268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,761.65 : 3,812.31 = 1,642.98 : x
  2. Step 2: Convert to fraction form
    2,761.65/3,812.31 = 1,642.98/x
  3. Step 3: Cross multiply
    2,761.65x = 3,812.31 × 1,642.98
  4. Step 4: Simplify right side
    2,761.65x = 6,263,541.94
  5. Step 5: Solve for x
    x = 6,263,541.94/2,761.65
  6. Step 6: Final answer
    x = 2,268.04

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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.