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Finding the Fourth Proportional to 2,257.64, 3,385.58 and 776.58

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Solution

The fourth proportional to 2,257.64, 3,385.58 and 776.58 is: 1,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.64 : 3,385.58 = 776.58 : x
  2. Step 2: Convert to fraction form
    2,257.64/3,385.58 = 776.58/x
  3. Step 3: Cross multiply
    2,257.64x = 3,385.58 × 776.58
  4. Step 4: Simplify right side
    2,257.64x = 2,629,160.05
  5. Step 5: Solve for x
    x = 2,629,160.05/2,257.64
  6. Step 6: Final answer
    x = 1,164.56

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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.