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Finding the Fourth Proportional to 1,362.52, 1,873.03 and 1,172.77

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Solution

The fourth proportional to 1,362.52, 1,873.03 and 1,172.77 is: 1,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,362.52 : 1,873.03 = 1,172.77 : x
  2. Step 2: Convert to fraction form
    1,362.52/1,873.03 = 1,172.77/x
  3. Step 3: Cross multiply
    1,362.52x = 1,873.03 × 1,172.77
  4. Step 4: Simplify right side
    1,362.52x = 2,196,633.39
  5. Step 5: Solve for x
    x = 2,196,633.39/1,362.52
  6. Step 6: Final answer
    x = 1,612.18

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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.