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Finding the Fourth Proportional to 2,966.49, 4,094.28 and 2,493.99

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Solution

The fourth proportional to 2,966.49, 4,094.28 and 2,493.99 is: 3,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,966.49 : 4,094.28 = 2,493.99 : x
  2. Step 2: Convert to fraction form
    2,966.49/4,094.28 = 2,493.99/x
  3. Step 3: Cross multiply
    2,966.49x = 4,094.28 × 2,493.99
  4. Step 4: Simplify right side
    2,966.49x = 10,211,093.38
  5. Step 5: Solve for x
    x = 10,211,093.38/2,966.49
  6. Step 6: Final answer
    x = 3,442.15

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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.