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Finding the Fourth Proportional to 2,525.40, 3,787.56 and 1,208.40

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Solution

The fourth proportional to 2,525.40, 3,787.56 and 1,208.40 is: 1,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.40 : 3,787.56 = 1,208.40 : x
  2. Step 2: Convert to fraction form
    2,525.40/3,787.56 = 1,208.40/x
  3. Step 3: Cross multiply
    2,525.40x = 3,787.56 × 1,208.40
  4. Step 4: Simplify right side
    2,525.40x = 4,576,887.50
  5. Step 5: Solve for x
    x = 4,576,887.50/2,525.40
  6. Step 6: Final answer
    x = 1,812.34

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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.