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Finding the Fourth Proportional to 2,686.67, 4,030.86 and 1,207.17

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Solution

The fourth proportional to 2,686.67, 4,030.86 and 1,207.17 is: 1,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,686.67 : 4,030.86 = 1,207.17 : x
  2. Step 2: Convert to fraction form
    2,686.67/4,030.86 = 1,207.17/x
  3. Step 3: Cross multiply
    2,686.67x = 4,030.86 × 1,207.17
  4. Step 4: Simplify right side
    2,686.67x = 4,865,933.27
  5. Step 5: Solve for x
    x = 4,865,933.27/2,686.67
  6. Step 6: Final answer
    x = 1,811.14

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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.