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Finding the Fourth Proportional to 2,605.56, 3,595.67 and 1,426.63

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Solution

The fourth proportional to 2,605.56, 3,595.67 and 1,426.63 is: 1,968.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.56 : 3,595.67 = 1,426.63 : x
  2. Step 2: Convert to fraction form
    2,605.56/3,595.67 = 1,426.63/x
  3. Step 3: Cross multiply
    2,605.56x = 3,595.67 × 1,426.63
  4. Step 4: Simplify right side
    2,605.56x = 5,129,665.58
  5. Step 5: Solve for x
    x = 5,129,665.58/2,605.56
  6. Step 6: Final answer
    x = 1,968.74

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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.