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Finding the Fourth Proportional to 2,547.45, 3,823.86 and 2,256.75

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Solution

The fourth proportional to 2,547.45, 3,823.86 and 2,256.75 is: 3,387.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.45 : 3,823.86 = 2,256.75 : x
  2. Step 2: Convert to fraction form
    2,547.45/3,823.86 = 2,256.75/x
  3. Step 3: Cross multiply
    2,547.45x = 3,823.86 × 2,256.75
  4. Step 4: Simplify right side
    2,547.45x = 8,629,496.06
  5. Step 5: Solve for x
    x = 8,629,496.06/2,547.45
  6. Step 6: Final answer
    x = 3,387.50

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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.