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Finding the Fourth Proportional to 2,186.62, 3,017.79 and 1,242.70

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Solution

The fourth proportional to 2,186.62, 3,017.79 and 1,242.70 is: 1,715.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.62 : 3,017.79 = 1,242.70 : x
  2. Step 2: Convert to fraction form
    2,186.62/3,017.79 = 1,242.70/x
  3. Step 3: Cross multiply
    2,186.62x = 3,017.79 × 1,242.70
  4. Step 4: Simplify right side
    2,186.62x = 3,750,226.55
  5. Step 5: Solve for x
    x = 3,750,226.55/2,186.62
  6. Step 6: Final answer
    x = 1,715.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.