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Finding the Fourth Proportional to 2,858.13, 4,287.47 and 778.28

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Solution

The fourth proportional to 2,858.13, 4,287.47 and 778.28 is: 1,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,858.13 : 4,287.47 = 778.28 : x
  2. Step 2: Convert to fraction form
    2,858.13/4,287.47 = 778.28/x
  3. Step 3: Cross multiply
    2,858.13x = 4,287.47 × 778.28
  4. Step 4: Simplify right side
    2,858.13x = 3,336,826.82
  5. Step 5: Solve for x
    x = 3,336,826.82/2,858.13
  6. Step 6: Final answer
    x = 1,167.49

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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.