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Finding the Fourth Proportional to 2,934.15, 4,401.19 and 713.00

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Solution

The fourth proportional to 2,934.15, 4,401.19 and 713.00 is: 1,069.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,934.15 : 4,401.19 = 713.00 : x
  2. Step 2: Convert to fraction form
    2,934.15/4,401.19 = 713.00/x
  3. Step 3: Cross multiply
    2,934.15x = 4,401.19 × 713.00
  4. Step 4: Simplify right side
    2,934.15x = 3,138,056.35
  5. Step 5: Solve for x
    x = 3,138,056.35/2,934.15
  6. Step 6: Final answer
    x = 1,069.49

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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.