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Finding the Fourth Proportional to 2,605.14, 3,594.96 and 1,426.14

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Solution

The fourth proportional to 2,605.14, 3,594.96 and 1,426.14 is: 1,968.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.14 : 3,594.96 = 1,426.14 : x
  2. Step 2: Convert to fraction form
    2,605.14/3,594.96 = 1,426.14/x
  3. Step 3: Cross multiply
    2,605.14x = 3,594.96 × 1,426.14
  4. Step 4: Simplify right side
    2,605.14x = 5,126,916.25
  5. Step 5: Solve for x
    x = 5,126,916.25/2,605.14
  6. Step 6: Final answer
    x = 1,968.00

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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.