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Finding the Fourth Proportional to 2,294.84, 3,165.28 and 1,944.05

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Solution

The fourth proportional to 2,294.84, 3,165.28 and 1,944.05 is: 2,681.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,294.84 : 3,165.28 = 1,944.05 : x
  2. Step 2: Convert to fraction form
    2,294.84/3,165.28 = 1,944.05/x
  3. Step 3: Cross multiply
    2,294.84x = 3,165.28 × 1,944.05
  4. Step 4: Simplify right side
    2,294.84x = 6,153,441.90
  5. Step 5: Solve for x
    x = 6,153,441.90/2,294.84
  6. Step 6: Final answer
    x = 2,681.42

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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.