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Finding the Fourth Proportional to 3,339.68, 4,608.62 and 1,827.22

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Solution

The fourth proportional to 3,339.68, 4,608.62 and 1,827.22 is: 2,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,339.68 : 4,608.62 = 1,827.22 : x
  2. Step 2: Convert to fraction form
    3,339.68/4,608.62 = 1,827.22/x
  3. Step 3: Cross multiply
    3,339.68x = 4,608.62 × 1,827.22
  4. Step 4: Simplify right side
    3,339.68x = 8,420,962.64
  5. Step 5: Solve for x
    x = 8,420,962.64/3,339.68
  6. Step 6: Final answer
    x = 2,521.49

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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.