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Finding the Fourth Proportional to 2,548.89, 3,823.02 and 700.17

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Solution

The fourth proportional to 2,548.89, 3,823.02 and 700.17 is: 1,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.89 : 3,823.02 = 700.17 : x
  2. Step 2: Convert to fraction form
    2,548.89/3,823.02 = 700.17/x
  3. Step 3: Cross multiply
    2,548.89x = 3,823.02 × 700.17
  4. Step 4: Simplify right side
    2,548.89x = 2,676,763.91
  5. Step 5: Solve for x
    x = 2,676,763.91/2,548.89
  6. Step 6: Final answer
    x = 1,050.17

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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.