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Finding the Fourth Proportional to 2,612.66, 3,605.53 and 1,433.81

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Solution

The fourth proportional to 2,612.66, 3,605.53 and 1,433.81 is: 1,978.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,612.66 : 3,605.53 = 1,433.81 : x
  2. Step 2: Convert to fraction form
    2,612.66/3,605.53 = 1,433.81/x
  3. Step 3: Cross multiply
    2,612.66x = 3,605.53 × 1,433.81
  4. Step 4: Simplify right side
    2,612.66x = 5,169,626.94
  5. Step 5: Solve for x
    x = 5,169,626.94/2,612.66
  6. Step 6: Final answer
    x = 1,978.68

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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.