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Finding the Fourth Proportional to 2,186.72, 3,275.04 and 1,319.12

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Solution

The fourth proportional to 2,186.72, 3,275.04 and 1,319.12 is: 1,975.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.72 : 3,275.04 = 1,319.12 : x
  2. Step 2: Convert to fraction form
    2,186.72/3,275.04 = 1,319.12/x
  3. Step 3: Cross multiply
    2,186.72x = 3,275.04 × 1,319.12
  4. Step 4: Simplify right side
    2,186.72x = 4,320,170.76
  5. Step 5: Solve for x
    x = 4,320,170.76/2,186.72
  6. Step 6: Final answer
    x = 1,975.64

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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.