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Finding the Fourth Proportional to 3,097.72, 4,275.99 and 2,101

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Solution

The fourth proportional to 3,097.72, 4,275.99 and 2,101 is: 2,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.72 : 4,275.99 = 2,101 : x
  2. Step 2: Convert to fraction form
    3,097.72/4,275.99 = 2,101/x
  3. Step 3: Cross multiply
    3,097.72x = 4,275.99 × 2,101
  4. Step 4: Simplify right side
    3,097.72x = 8,983,854.99
  5. Step 5: Solve for x
    x = 8,983,854.99/3,097.72
  6. Step 6: Final answer
    x = 2,900.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.