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Finding the Fourth Proportional to 2,700.19, 4,053.62 and 2,575.50

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Solution

The fourth proportional to 2,700.19, 4,053.62 and 2,575.50 is: 3,866.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700.19 : 4,053.62 = 2,575.50 : x
  2. Step 2: Convert to fraction form
    2,700.19/4,053.62 = 2,575.50/x
  3. Step 3: Cross multiply
    2,700.19x = 4,053.62 × 2,575.50
  4. Step 4: Simplify right side
    2,700.19x = 10,440,098.31
  5. Step 5: Solve for x
    x = 10,440,098.31/2,700.19
  6. Step 6: Final answer
    x = 3,866.43

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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.