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Finding the Fourth Proportional to 1,612.77, 2,211.14 and 1,583.61

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Solution

The fourth proportional to 1,612.77, 2,211.14 and 1,583.61 is: 2,171.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.77 : 2,211.14 = 1,583.61 : x
  2. Step 2: Convert to fraction form
    1,612.77/2,211.14 = 1,583.61/x
  3. Step 3: Cross multiply
    1,612.77x = 2,211.14 × 1,583.61
  4. Step 4: Simplify right side
    1,612.77x = 3,501,575.50
  5. Step 5: Solve for x
    x = 3,501,575.50/1,612.77
  6. Step 6: Final answer
    x = 2,171.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.