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Finding the Fourth Proportional to 2,006.88, 3,011.60 and 852.63

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Solution

The fourth proportional to 2,006.88, 3,011.60 and 852.63 is: 1,279.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.88 : 3,011.60 = 852.63 : x
  2. Step 2: Convert to fraction form
    2,006.88/3,011.60 = 852.63/x
  3. Step 3: Cross multiply
    2,006.88x = 3,011.60 × 852.63
  4. Step 4: Simplify right side
    2,006.88x = 2,567,780.51
  5. Step 5: Solve for x
    x = 2,567,780.51/2,006.88
  6. Step 6: Final answer
    x = 1,279.49

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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.