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Finding the Fourth Proportional to 2,060.16, 2,836.08 and 1,784.22

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Solution

The fourth proportional to 2,060.16, 2,836.08 and 1,784.22 is: 2,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,060.16 : 2,836.08 = 1,784.22 : x
  2. Step 2: Convert to fraction form
    2,060.16/2,836.08 = 1,784.22/x
  3. Step 3: Cross multiply
    2,060.16x = 2,836.08 × 1,784.22
  4. Step 4: Simplify right side
    2,060.16x = 5,060,190.66
  5. Step 5: Solve for x
    x = 5,060,190.66/2,060.16
  6. Step 6: Final answer
    x = 2,456.21

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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.