Home / 2,784.20-3,842.01-1,665.16

Finding the Fourth Proportional to 2,784.20, 3,842.01 and 1,665.16

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Solution

The fourth proportional to 2,784.20, 3,842.01 and 1,665.16 is: 2,297.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.20 : 3,842.01 = 1,665.16 : x
  2. Step 2: Convert to fraction form
    2,784.20/3,842.01 = 1,665.16/x
  3. Step 3: Cross multiply
    2,784.20x = 3,842.01 × 1,665.16
  4. Step 4: Simplify right side
    2,784.20x = 6,397,551.77
  5. Step 5: Solve for x
    x = 6,397,551.77/2,784.20
  6. Step 6: Final answer
    x = 2,297.81

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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.