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Finding the Fourth Proportional to 2,186.93, 3,017.97 and 1,302.77

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Solution

The fourth proportional to 2,186.93, 3,017.97 and 1,302.77 is: 1,797.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.93 : 3,017.97 = 1,302.77 : x
  2. Step 2: Convert to fraction form
    2,186.93/3,017.97 = 1,302.77/x
  3. Step 3: Cross multiply
    2,186.93x = 3,017.97 × 1,302.77
  4. Step 4: Simplify right side
    2,186.93x = 3,931,720.78
  5. Step 5: Solve for x
    x = 3,931,720.78/2,186.93
  6. Step 6: Final answer
    x = 1,797.83

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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.