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Finding the Fourth Proportional to 2,257.54, 3,385.47 and 776.35

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Solution

The fourth proportional to 2,257.54, 3,385.47 and 776.35 is: 1,164.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257.54 : 3,385.47 = 776.35 : x
  2. Step 2: Convert to fraction form
    2,257.54/3,385.47 = 776.35/x
  3. Step 3: Cross multiply
    2,257.54x = 3,385.47 × 776.35
  4. Step 4: Simplify right side
    2,257.54x = 2,628,309.63
  5. Step 5: Solve for x
    x = 2,628,309.63/2,257.54
  6. Step 6: Final answer
    x = 1,164.24

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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.