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Finding the Fourth Proportional to 2,525.07, 3,787.00 and 1,208.01

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Solution

The fourth proportional to 2,525.07, 3,787.00 and 1,208.01 is: 1,811.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.07 : 3,787.00 = 1,208.01 : x
  2. Step 2: Convert to fraction form
    2,525.07/3,787.00 = 1,208.01/x
  3. Step 3: Cross multiply
    2,525.07x = 3,787.00 × 1,208.01
  4. Step 4: Simplify right side
    2,525.07x = 4,574,730.85
  5. Step 5: Solve for x
    x = 4,574,730.85/2,525.07
  6. Step 6: Final answer
    x = 1,811.72

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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.