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Finding the Fourth Proportional to 2,530.25, 3,809.04 and 2,275.95

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Solution

The fourth proportional to 2,530.25, 3,809.04 and 2,275.95 is: 3,426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,530.25 : 3,809.04 = 2,275.95 : x
  2. Step 2: Convert to fraction form
    2,530.25/3,809.04 = 2,275.95/x
  3. Step 3: Cross multiply
    2,530.25x = 3,809.04 × 2,275.95
  4. Step 4: Simplify right side
    2,530.25x = 8,669,184.59
  5. Step 5: Solve for x
    x = 8,669,184.59/2,530.25
  6. Step 6: Final answer
    x = 3,426.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.