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Finding the Fourth Proportional to 2,197.91, 3,030.74 and 1,667.77

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Solution

The fourth proportional to 2,197.91, 3,030.74 and 1,667.77 is: 2,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.91 : 3,030.74 = 1,667.77 : x
  2. Step 2: Convert to fraction form
    2,197.91/3,030.74 = 1,667.77/x
  3. Step 3: Cross multiply
    2,197.91x = 3,030.74 × 1,667.77
  4. Step 4: Simplify right side
    2,197.91x = 5,054,577.25
  5. Step 5: Solve for x
    x = 5,054,577.25/2,197.91
  6. Step 6: Final answer
    x = 2,299.72

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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.