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Finding the Fourth Proportional to 2,548.86, 3,823.28 and 1,453.74

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Solution

The fourth proportional to 2,548.86, 3,823.28 and 1,453.74 is: 2,180.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.86 : 3,823.28 = 1,453.74 : x
  2. Step 2: Convert to fraction form
    2,548.86/3,823.28 = 1,453.74/x
  3. Step 3: Cross multiply
    2,548.86x = 3,823.28 × 1,453.74
  4. Step 4: Simplify right side
    2,548.86x = 5,558,055.07
  5. Step 5: Solve for x
    x = 5,558,055.07/2,548.86
  6. Step 6: Final answer
    x = 2,180.60

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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.