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Finding the Fourth Proportional to 2,094.80, 2,891.20 and 1,210.48

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Solution

The fourth proportional to 2,094.80, 2,891.20 and 1,210.48 is: 1,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.80 : 2,891.20 = 1,210.48 : x
  2. Step 2: Convert to fraction form
    2,094.80/2,891.20 = 1,210.48/x
  3. Step 3: Cross multiply
    2,094.80x = 2,891.20 × 1,210.48
  4. Step 4: Simplify right side
    2,094.80x = 3,499,739.78
  5. Step 5: Solve for x
    x = 3,499,739.78/2,094.80
  6. Step 6: Final answer
    x = 1,670.68

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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.