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Finding the Fourth Proportional to 2,984.92, 4,467.54 and 2,881.24

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Solution

The fourth proportional to 2,984.92, 4,467.54 and 2,881.24 is: 4,312.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.92 : 4,467.54 = 2,881.24 : x
  2. Step 2: Convert to fraction form
    2,984.92/4,467.54 = 2,881.24/x
  3. Step 3: Cross multiply
    2,984.92x = 4,467.54 × 2,881.24
  4. Step 4: Simplify right side
    2,984.92x = 12,872,054.95
  5. Step 5: Solve for x
    x = 12,872,054.95/2,984.92
  6. Step 6: Final answer
    x = 4,312.36

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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.