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Finding the Fourth Proportional to 1,605.96, 2,402.46 and 1,359.72

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Solution

The fourth proportional to 1,605.96, 2,402.46 and 1,359.72 is: 2,034.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,605.96 : 2,402.46 = 1,359.72 : x
  2. Step 2: Convert to fraction form
    1,605.96/2,402.46 = 1,359.72/x
  3. Step 3: Cross multiply
    1,605.96x = 2,402.46 × 1,359.72
  4. Step 4: Simplify right side
    1,605.96x = 3,266,672.91
  5. Step 5: Solve for x
    x = 3,266,672.91/1,605.96
  6. Step 6: Final answer
    x = 2,034.09

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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.