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Finding the Fourth Proportional to 2,237.52, 3,356.46 and 776.64

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Solution

The fourth proportional to 2,237.52, 3,356.46 and 776.64 is: 1,165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,237.52 : 3,356.46 = 776.64 : x
  2. Step 2: Convert to fraction form
    2,237.52/3,356.46 = 776.64/x
  3. Step 3: Cross multiply
    2,237.52x = 3,356.46 × 776.64
  4. Step 4: Simplify right side
    2,237.52x = 2,606,761.09
  5. Step 5: Solve for x
    x = 2,606,761.09/2,237.52
  6. Step 6: Final answer
    x = 1,165.02

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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.