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Finding the Fourth Proportional to 2,605.02, 3,594.78 and 1,426.02

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Solution

The fourth proportional to 2,605.02, 3,594.78 and 1,426.02 is: 1,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.02 : 3,594.78 = 1,426.02 : x
  2. Step 2: Convert to fraction form
    2,605.02/3,594.78 = 1,426.02/x
  3. Step 3: Cross multiply
    2,605.02x = 3,594.78 × 1,426.02
  4. Step 4: Simplify right side
    2,605.02x = 5,126,228.18
  5. Step 5: Solve for x
    x = 5,126,228.18/2,605.02
  6. Step 6: Final answer
    x = 1,967.83

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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.