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Finding the Fourth Proportional to 2,604.81, 3,594.68 and 1,425.86

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Solution

The fourth proportional to 2,604.81, 3,594.68 and 1,425.86 is: 1,967.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.81 : 3,594.68 = 1,425.86 : x
  2. Step 2: Convert to fraction form
    2,604.81/3,594.68 = 1,425.86/x
  3. Step 3: Cross multiply
    2,604.81x = 3,594.68 × 1,425.86
  4. Step 4: Simplify right side
    2,604.81x = 5,125,510.42
  5. Step 5: Solve for x
    x = 5,125,510.42/2,604.81
  6. Step 6: Final answer
    x = 1,967.71

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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.