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Finding the Fourth Proportional to 2,642.47, 3,960.21 and 1,407.22

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Solution

The fourth proportional to 2,642.47, 3,960.21 and 1,407.22 is: 2,108.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.47 : 3,960.21 = 1,407.22 : x
  2. Step 2: Convert to fraction form
    2,642.47/3,960.21 = 1,407.22/x
  3. Step 3: Cross multiply
    2,642.47x = 3,960.21 × 1,407.22
  4. Step 4: Simplify right side
    2,642.47x = 5,572,881.44
  5. Step 5: Solve for x
    x = 5,572,881.44/2,642.47
  6. Step 6: Final answer
    x = 2,108.97

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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.