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Finding the Fourth Proportional to 2,809.76, 4,214.52 and 1,078.28

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Solution

The fourth proportional to 2,809.76, 4,214.52 and 1,078.28 is: 1,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,809.76 : 4,214.52 = 1,078.28 : x
  2. Step 2: Convert to fraction form
    2,809.76/4,214.52 = 1,078.28/x
  3. Step 3: Cross multiply
    2,809.76x = 4,214.52 × 1,078.28
  4. Step 4: Simplify right side
    2,809.76x = 4,544,432.63
  5. Step 5: Solve for x
    x = 4,544,432.63/2,809.76
  6. Step 6: Final answer
    x = 1,617.37

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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.