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Finding the Fourth Proportional to 2,549.95, 3,824.93 and 1,624.58

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Solution

The fourth proportional to 2,549.95, 3,824.93 and 1,624.58 is: 2,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,549.95 : 3,824.93 = 1,624.58 : x
  2. Step 2: Convert to fraction form
    2,549.95/3,824.93 = 1,624.58/x
  3. Step 3: Cross multiply
    2,549.95x = 3,824.93 × 1,624.58
  4. Step 4: Simplify right side
    2,549.95x = 6,213,904.06
  5. Step 5: Solve for x
    x = 6,213,904.06/2,549.95
  6. Step 6: Final answer
    x = 2,436.87

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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.