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Finding the Fourth Proportional to 1,881.76, 2,597.52 and 1,183

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Solution

The fourth proportional to 1,881.76, 2,597.52 and 1,183 is: 1,632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.76 : 2,597.52 = 1,183 : x
  2. Step 2: Convert to fraction form
    1,881.76/2,597.52 = 1,183/x
  3. Step 3: Cross multiply
    1,881.76x = 2,597.52 × 1,183
  4. Step 4: Simplify right side
    1,881.76x = 3,072,866.16
  5. Step 5: Solve for x
    x = 3,072,866.16/1,881.76
  6. Step 6: Final answer
    x = 1,632.97

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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.