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Finding the Fourth Proportional to 1,746.64, 2,620.82 and 822.28

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Solution

The fourth proportional to 1,746.64, 2,620.82 and 822.28 is: 1,233.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.64 : 2,620.82 = 822.28 : x
  2. Step 2: Convert to fraction form
    1,746.64/2,620.82 = 822.28/x
  3. Step 3: Cross multiply
    1,746.64x = 2,620.82 × 822.28
  4. Step 4: Simplify right side
    1,746.64x = 2,155,047.87
  5. Step 5: Solve for x
    x = 2,155,047.87/1,746.64
  6. Step 6: Final answer
    x = 1,233.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.