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Finding the Fourth Proportional to 2,009.49, 2,773.92 and 1,728.60

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Solution

The fourth proportional to 2,009.49, 2,773.92 and 1,728.60 is: 2,386.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,009.49 : 2,773.92 = 1,728.60 : x
  2. Step 2: Convert to fraction form
    2,009.49/2,773.92 = 1,728.60/x
  3. Step 3: Cross multiply
    2,009.49x = 2,773.92 × 1,728.60
  4. Step 4: Simplify right side
    2,009.49x = 4,794,998.11
  5. Step 5: Solve for x
    x = 4,794,998.11/2,009.49
  6. Step 6: Final answer
    x = 2,386.18

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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.