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Finding the Fourth Proportional to 2,019.72, 2,785.14 and 1,321.32

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Solution

The fourth proportional to 2,019.72, 2,785.14 and 1,321.32 is: 1,822.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,019.72 : 2,785.14 = 1,321.32 : x
  2. Step 2: Convert to fraction form
    2,019.72/2,785.14 = 1,321.32/x
  3. Step 3: Cross multiply
    2,019.72x = 2,785.14 × 1,321.32
  4. Step 4: Simplify right side
    2,019.72x = 3,680,061.18
  5. Step 5: Solve for x
    x = 3,680,061.18/2,019.72
  6. Step 6: Final answer
    x = 1,822.07

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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.