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Finding the Fourth Proportional to 2,970.06, 4,091.07 and 2,497.42

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Solution

The fourth proportional to 2,970.06, 4,091.07 and 2,497.42 is: 3,440.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.06 : 4,091.07 = 2,497.42 : x
  2. Step 2: Convert to fraction form
    2,970.06/4,091.07 = 2,497.42/x
  3. Step 3: Cross multiply
    2,970.06x = 4,091.07 × 2,497.42
  4. Step 4: Simplify right side
    2,970.06x = 10,217,120.04
  5. Step 5: Solve for x
    x = 10,217,120.04/2,970.06
  6. Step 6: Final answer
    x = 3,440.04

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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.