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Finding the Fourth Proportional to 3,083.22, 4,602.24 and 2,823.48

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Solution

The fourth proportional to 3,083.22, 4,602.24 and 2,823.48 is: 4,214.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.22 : 4,602.24 = 2,823.48 : x
  2. Step 2: Convert to fraction form
    3,083.22/4,602.24 = 2,823.48/x
  3. Step 3: Cross multiply
    3,083.22x = 4,602.24 × 2,823.48
  4. Step 4: Simplify right side
    3,083.22x = 12,994,332.60
  5. Step 5: Solve for x
    x = 12,994,332.60/3,083.22
  6. Step 6: Final answer
    x = 4,214.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.