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Finding the Fourth Proportional to 2,303.67, 3,456.20 and 1,071.82

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Solution

The fourth proportional to 2,303.67, 3,456.20 and 1,071.82 is: 1,608.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.67 : 3,456.20 = 1,071.82 : x
  2. Step 2: Convert to fraction form
    2,303.67/3,456.20 = 1,071.82/x
  3. Step 3: Cross multiply
    2,303.67x = 3,456.20 × 1,071.82
  4. Step 4: Simplify right side
    2,303.67x = 3,704,411.84
  5. Step 5: Solve for x
    x = 3,704,411.84/2,303.67
  6. Step 6: Final answer
    x = 1,608.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.