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Finding the Fourth Proportional to 3,212.42, 4,820.64 and 1,264.58

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Solution

The fourth proportional to 3,212.42, 4,820.64 and 1,264.58 is: 1,897.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.42 : 4,820.64 = 1,264.58 : x
  2. Step 2: Convert to fraction form
    3,212.42/4,820.64 = 1,264.58/x
  3. Step 3: Cross multiply
    3,212.42x = 4,820.64 × 1,264.58
  4. Step 4: Simplify right side
    3,212.42x = 6,096,084.93
  5. Step 5: Solve for x
    x = 6,096,084.93/3,212.42
  6. Step 6: Final answer
    x = 1,897.66

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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.