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Finding the Fourth Proportional to 4,289.76, 6,434.03 and 2,097.90

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Solution

The fourth proportional to 4,289.76, 6,434.03 and 2,097.90 is: 3,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,289.76 : 6,434.03 = 2,097.90 : x
  2. Step 2: Convert to fraction form
    4,289.76/6,434.03 = 2,097.90/x
  3. Step 3: Cross multiply
    4,289.76x = 6,434.03 × 2,097.90
  4. Step 4: Simplify right side
    4,289.76x = 13,497,956.78
  5. Step 5: Solve for x
    x = 13,497,956.78/4,289.76
  6. Step 6: Final answer
    x = 3,146.55

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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.