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Finding the Fourth Proportional to 2,978.24, 4,110.22 and 1,652.22

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Solution

The fourth proportional to 2,978.24, 4,110.22 and 1,652.22 is: 2,280.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,978.24 : 4,110.22 = 1,652.22 : x
  2. Step 2: Convert to fraction form
    2,978.24/4,110.22 = 1,652.22/x
  3. Step 3: Cross multiply
    2,978.24x = 4,110.22 × 1,652.22
  4. Step 4: Simplify right side
    2,978.24x = 6,790,987.69
  5. Step 5: Solve for x
    x = 6,790,987.69/2,978.24
  6. Step 6: Final answer
    x = 2,280.20

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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.