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Finding the Fourth Proportional to 2,143.77, 2,975.75 and 2,091.93

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Solution

The fourth proportional to 2,143.77, 2,975.75 and 2,091.93 is: 2,903.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.77 : 2,975.75 = 2,091.93 : x
  2. Step 2: Convert to fraction form
    2,143.77/2,975.75 = 2,091.93/x
  3. Step 3: Cross multiply
    2,143.77x = 2,975.75 × 2,091.93
  4. Step 4: Simplify right side
    2,143.77x = 6,225,050.24
  5. Step 5: Solve for x
    x = 6,225,050.24/2,143.77
  6. Step 6: Final answer
    x = 2,903.79

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.