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Finding the Fourth Proportional to 3,097.50, 4,275.63 and 1,855.50

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Solution

The fourth proportional to 3,097.50, 4,275.63 and 1,855.50 is: 2,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.50 : 4,275.63 = 1,855.50 : x
  2. Step 2: Convert to fraction form
    3,097.50/4,275.63 = 1,855.50/x
  3. Step 3: Cross multiply
    3,097.50x = 4,275.63 × 1,855.50
  4. Step 4: Simplify right side
    3,097.50x = 7,933,431.47
  5. Step 5: Solve for x
    x = 7,933,431.47/3,097.50
  6. Step 6: Final answer
    x = 2,561.24

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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.