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Finding the Fourth Proportional to 2,856.24, 4,284.24 and 804.24

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Solution

The fourth proportional to 2,856.24, 4,284.24 and 804.24 is: 1,206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.24 : 4,284.24 = 804.24 : x
  2. Step 2: Convert to fraction form
    2,856.24/4,284.24 = 804.24/x
  3. Step 3: Cross multiply
    2,856.24x = 4,284.24 × 804.24
  4. Step 4: Simplify right side
    2,856.24x = 3,445,557.18
  5. Step 5: Solve for x
    x = 3,445,557.18/2,856.24
  6. Step 6: Final answer
    x = 1,206.33

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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.