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Finding the Fourth Proportional to 2,318.75, 3,477.82 and 837.82

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Solution

The fourth proportional to 2,318.75, 3,477.82 and 837.82 is: 1,256.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,318.75 : 3,477.82 = 837.82 : x
  2. Step 2: Convert to fraction form
    2,318.75/3,477.82 = 837.82/x
  3. Step 3: Cross multiply
    2,318.75x = 3,477.82 × 837.82
  4. Step 4: Simplify right side
    2,318.75x = 2,913,787.15
  5. Step 5: Solve for x
    x = 2,913,787.15/2,318.75
  6. Step 6: Final answer
    x = 1,256.62

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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.