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Finding the Fourth Proportional to 2,853.02, 4,279.19 and 772.89

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Solution

The fourth proportional to 2,853.02, 4,279.19 and 772.89 is: 1,159.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,853.02 : 4,279.19 = 772.89 : x
  2. Step 2: Convert to fraction form
    2,853.02/4,279.19 = 772.89/x
  3. Step 3: Cross multiply
    2,853.02x = 4,279.19 × 772.89
  4. Step 4: Simplify right side
    2,853.02x = 3,307,359.69
  5. Step 5: Solve for x
    x = 3,307,359.69/2,853.02
  6. Step 6: Final answer
    x = 1,159.25

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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.