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Finding the Fourth Proportional to 2,863.76, 4,295.63 and 1,564.52

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Solution

The fourth proportional to 2,863.76, 4,295.63 and 1,564.52 is: 2,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.76 : 4,295.63 = 1,564.52 : x
  2. Step 2: Convert to fraction form
    2,863.76/4,295.63 = 1,564.52/x
  3. Step 3: Cross multiply
    2,863.76x = 4,295.63 × 1,564.52
  4. Step 4: Simplify right side
    2,863.76x = 6,720,581.48
  5. Step 5: Solve for x
    x = 6,720,581.48/2,863.76
  6. Step 6: Final answer
    x = 2,346.77

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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.