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Finding the Fourth Proportional to 2,525.94, 3,787.70 and 1,472.13

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Solution

The fourth proportional to 2,525.94, 3,787.70 and 1,472.13 is: 2,207.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.94 : 3,787.70 = 1,472.13 : x
  2. Step 2: Convert to fraction form
    2,525.94/3,787.70 = 1,472.13/x
  3. Step 3: Cross multiply
    2,525.94x = 3,787.70 × 1,472.13
  4. Step 4: Simplify right side
    2,525.94x = 5,575,979.44
  5. Step 5: Solve for x
    x = 5,575,979.44/2,525.94
  6. Step 6: Final answer
    x = 2,207.49

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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.