Home / 1,746.22-2,618.55-822.04

Finding the Fourth Proportional to 1,746.22, 2,618.55 and 822.04

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Solution

The fourth proportional to 1,746.22, 2,618.55 and 822.04 is: 1,232.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,746.22 : 2,618.55 = 822.04 : x
  2. Step 2: Convert to fraction form
    1,746.22/2,618.55 = 822.04/x
  3. Step 3: Cross multiply
    1,746.22x = 2,618.55 × 822.04
  4. Step 4: Simplify right side
    1,746.22x = 2,152,552.84
  5. Step 5: Solve for x
    x = 2,152,552.84/1,746.22
  6. Step 6: Final answer
    x = 1,232.69

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1.5x scale

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.