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Finding the Fourth Proportional to 2,186.67, 3,017.50 and 1,242.42

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Solution

The fourth proportional to 2,186.67, 3,017.50 and 1,242.42 is: 1,714.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.67 : 3,017.50 = 1,242.42 : x
  2. Step 2: Convert to fraction form
    2,186.67/3,017.50 = 1,242.42/x
  3. Step 3: Cross multiply
    2,186.67x = 3,017.50 × 1,242.42
  4. Step 4: Simplify right side
    2,186.67x = 3,749,002.35
  5. Step 5: Solve for x
    x = 3,749,002.35/2,186.67
  6. Step 6: Final answer
    x = 1,714.48

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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.