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Finding the Fourth Proportional to 3,044.57, 4,566.32 and 852.77

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Solution

The fourth proportional to 3,044.57, 4,566.32 and 852.77 is: 1,279.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.57 : 4,566.32 = 852.77 : x
  2. Step 2: Convert to fraction form
    3,044.57/4,566.32 = 852.77/x
  3. Step 3: Cross multiply
    3,044.57x = 4,566.32 × 852.77
  4. Step 4: Simplify right side
    3,044.57x = 3,894,035.85
  5. Step 5: Solve for x
    x = 3,894,035.85/3,044.57
  6. Step 6: Final answer
    x = 1,279.01

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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.