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Finding the Fourth Proportional to 2,185.69, 3,275.88 and 1,014.10

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Solution

The fourth proportional to 2,185.69, 3,275.88 and 1,014.10 is: 1,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.69 : 3,275.88 = 1,014.10 : x
  2. Step 2: Convert to fraction form
    2,185.69/3,275.88 = 1,014.10/x
  3. Step 3: Cross multiply
    2,185.69x = 3,275.88 × 1,014.10
  4. Step 4: Simplify right side
    2,185.69x = 3,322,069.91
  5. Step 5: Solve for x
    x = 3,322,069.91/2,185.69
  6. Step 6: Final answer
    x = 1,519.92

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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.