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Finding the Fourth Proportional to 3,043.96, 4,566.22 and 852.72

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Solution

The fourth proportional to 3,043.96, 4,566.22 and 852.72 is: 1,279.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,043.96 : 4,566.22 = 852.72 : x
  2. Step 2: Convert to fraction form
    3,043.96/4,566.22 = 852.72/x
  3. Step 3: Cross multiply
    3,043.96x = 4,566.22 × 852.72
  4. Step 4: Simplify right side
    3,043.96x = 3,893,707.12
  5. Step 5: Solve for x
    x = 3,893,707.12/3,043.96
  6. Step 6: Final answer
    x = 1,279.16

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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.