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Finding the Fourth Proportional to 2,794.32, 4,191.48 and 944.94

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Solution

The fourth proportional to 2,794.32, 4,191.48 and 944.94 is: 1,417.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.32 : 4,191.48 = 944.94 : x
  2. Step 2: Convert to fraction form
    2,794.32/4,191.48 = 944.94/x
  3. Step 3: Cross multiply
    2,794.32x = 4,191.48 × 944.94
  4. Step 4: Simplify right side
    2,794.32x = 3,960,697.11
  5. Step 5: Solve for x
    x = 3,960,697.11/2,794.32
  6. Step 6: Final answer
    x = 1,417.41

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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.