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Finding the Fourth Proportional to 2,525.64, 3,811.04 and 2,424.49

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Solution

The fourth proportional to 2,525.64, 3,811.04 and 2,424.49 is: 3,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,525.64 : 3,811.04 = 2,424.49 : x
  2. Step 2: Convert to fraction form
    2,525.64/3,811.04 = 2,424.49/x
  3. Step 3: Cross multiply
    2,525.64x = 3,811.04 × 2,424.49
  4. Step 4: Simplify right side
    2,525.64x = 9,239,828.37
  5. Step 5: Solve for x
    x = 9,239,828.37/2,525.64
  6. Step 6: Final answer
    x = 3,658.41

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.