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Finding the Fourth Proportional to 2,185.86, 3,275.72 and 1,859.95

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Solution

The fourth proportional to 2,185.86, 3,275.72 and 1,859.95 is: 2,787.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.86 : 3,275.72 = 1,859.95 : x
  2. Step 2: Convert to fraction form
    2,185.86/3,275.72 = 1,859.95/x
  3. Step 3: Cross multiply
    2,185.86x = 3,275.72 × 1,859.95
  4. Step 4: Simplify right side
    2,185.86x = 6,092,649.74
  5. Step 5: Solve for x
    x = 6,092,649.74/2,185.86
  6. Step 6: Final answer
    x = 2,787.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.