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Finding the Fourth Proportional to 2,163.85, 2,986.85 and 1,345.93

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Solution

The fourth proportional to 2,163.85, 2,986.85 and 1,345.93 is: 1,857.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163.85 : 2,986.85 = 1,345.93 : x
  2. Step 2: Convert to fraction form
    2,163.85/2,986.85 = 1,345.93/x
  3. Step 3: Cross multiply
    2,163.85x = 2,986.85 × 1,345.93
  4. Step 4: Simplify right side
    2,163.85x = 4,020,091.02
  5. Step 5: Solve for x
    x = 4,020,091.02/2,163.85
  6. Step 6: Final answer
    x = 1,857.84

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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.