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Finding the Fourth Proportional to 1,339.72, 1,848.90 and 1,161.34

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Solution

The fourth proportional to 1,339.72, 1,848.90 and 1,161.34 is: 1,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.72 : 1,848.90 = 1,161.34 : x
  2. Step 2: Convert to fraction form
    1,339.72/1,848.90 = 1,161.34/x
  3. Step 3: Cross multiply
    1,339.72x = 1,848.90 × 1,161.34
  4. Step 4: Simplify right side
    1,339.72x = 2,147,201.53
  5. Step 5: Solve for x
    x = 2,147,201.53/1,339.72
  6. Step 6: Final answer
    x = 1,602.72

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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.