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Finding the Fourth Proportional to 2,966.56, 4,094.12 and 2,219.20

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Solution

The fourth proportional to 2,966.56, 4,094.12 and 2,219.20 is: 3,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.56 : 4,094.12 = 2,219.20 : x
  2. Step 2: Convert to fraction form
    2,966.56/4,094.12 = 2,219.20/x
  3. Step 3: Cross multiply
    2,966.56x = 4,094.12 × 2,219.20
  4. Step 4: Simplify right side
    2,966.56x = 9,085,671.10
  5. Step 5: Solve for x
    x = 9,085,671.10/2,966.56
  6. Step 6: Final answer
    x = 3,062.70

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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.