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Finding the Fourth Proportional to 2,764.34, 4,143.63 and 1,465.46

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Solution

The fourth proportional to 2,764.34, 4,143.63 and 1,465.46 is: 2,196.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.34 : 4,143.63 = 1,465.46 : x
  2. Step 2: Convert to fraction form
    2,764.34/4,143.63 = 1,465.46/x
  3. Step 3: Cross multiply
    2,764.34x = 4,143.63 × 1,465.46
  4. Step 4: Simplify right side
    2,764.34x = 6,072,324.02
  5. Step 5: Solve for x
    x = 6,072,324.02/2,764.34
  6. Step 6: Final answer
    x = 2,196.66

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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.