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Finding the Fourth Proportional to 2,185.68, 3,275.28 and 1,364.88

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Solution

The fourth proportional to 2,185.68, 3,275.28 and 1,364.88 is: 2,045.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185.68 : 3,275.28 = 1,364.88 : x
  2. Step 2: Convert to fraction form
    2,185.68/3,275.28 = 1,364.88/x
  3. Step 3: Cross multiply
    2,185.68x = 3,275.28 × 1,364.88
  4. Step 4: Simplify right side
    2,185.68x = 4,470,364.17
  5. Step 5: Solve for x
    x = 4,470,364.17/2,185.68
  6. Step 6: Final answer
    x = 2,045.30

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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.