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Finding the Fourth Proportional to 2,684.34, 4,019.10 and 2,024.22

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Solution

The fourth proportional to 2,684.34, 4,019.10 and 2,024.22 is: 3,030.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,684.34 : 4,019.10 = 2,024.22 : x
  2. Step 2: Convert to fraction form
    2,684.34/4,019.10 = 2,024.22/x
  3. Step 3: Cross multiply
    2,684.34x = 4,019.10 × 2,024.22
  4. Step 4: Simplify right side
    2,684.34x = 8,135,542.60
  5. Step 5: Solve for x
    x = 8,135,542.60/2,684.34
  6. Step 6: Final answer
    x = 3,030.74

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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.