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Finding the Fourth Proportional to 1,332.22, 1,837.11 and 1,146.33

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Solution

The fourth proportional to 1,332.22, 1,837.11 and 1,146.33 is: 1,580.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.22 : 1,837.11 = 1,146.33 : x
  2. Step 2: Convert to fraction form
    1,332.22/1,837.11 = 1,146.33/x
  3. Step 3: Cross multiply
    1,332.22x = 1,837.11 × 1,146.33
  4. Step 4: Simplify right side
    1,332.22x = 2,105,934.31
  5. Step 5: Solve for x
    x = 2,105,934.31/1,332.22
  6. Step 6: Final answer
    x = 1,580.77

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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.