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Finding the Fourth Proportional to 3,002.94, 4,504.30 and 781.79

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Solution

The fourth proportional to 3,002.94, 4,504.30 and 781.79 is: 1,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,002.94 : 4,504.30 = 781.79 : x
  2. Step 2: Convert to fraction form
    3,002.94/4,504.30 = 781.79/x
  3. Step 3: Cross multiply
    3,002.94x = 4,504.30 × 781.79
  4. Step 4: Simplify right side
    3,002.94x = 3,521,392.22
  5. Step 5: Solve for x
    x = 3,521,392.22/3,002.94
  6. Step 6: Final answer
    x = 1,172.65

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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.