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Finding the Fourth Proportional to 3,090.92, 4,636.17 and 1,447.83

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Solution

The fourth proportional to 3,090.92, 4,636.17 and 1,447.83 is: 2,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,090.92 : 4,636.17 = 1,447.83 : x
  2. Step 2: Convert to fraction form
    3,090.92/4,636.17 = 1,447.83/x
  3. Step 3: Cross multiply
    3,090.92x = 4,636.17 × 1,447.83
  4. Step 4: Simplify right side
    3,090.92x = 6,712,386.01
  5. Step 5: Solve for x
    x = 6,712,386.01/3,090.92
  6. Step 6: Final answer
    x = 2,171.65

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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.