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Finding the Fourth Proportional to 2,094.71, 3,136.32 and 1,605.47

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Solution

The fourth proportional to 2,094.71, 3,136.32 and 1,605.47 is: 2,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.71 : 3,136.32 = 1,605.47 : x
  2. Step 2: Convert to fraction form
    2,094.71/3,136.32 = 1,605.47/x
  3. Step 3: Cross multiply
    2,094.71x = 3,136.32 × 1,605.47
  4. Step 4: Simplify right side
    2,094.71x = 5,035,251.99
  5. Step 5: Solve for x
    x = 5,035,251.99/2,094.71
  6. Step 6: Final answer
    x = 2,403.80

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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.