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Finding the Fourth Proportional to 2,966.46, 4,454.22 and 2,510.22

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Solution

The fourth proportional to 2,966.46, 4,454.22 and 2,510.22 is: 3,769.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.46 : 4,454.22 = 2,510.22 : x
  2. Step 2: Convert to fraction form
    2,966.46/4,454.22 = 2,510.22/x
  3. Step 3: Cross multiply
    2,966.46x = 4,454.22 × 2,510.22
  4. Step 4: Simplify right side
    2,966.46x = 11,181,072.13
  5. Step 5: Solve for x
    x = 11,181,072.13/2,966.46
  6. Step 6: Final answer
    x = 3,769.16

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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.