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Finding the Fourth Proportional to 3,096.40, 4,646.02 and 1,341.94

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Solution

The fourth proportional to 3,096.40, 4,646.02 and 1,341.94 is: 2,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.40 : 4,646.02 = 1,341.94 : x
  2. Step 2: Convert to fraction form
    3,096.40/4,646.02 = 1,341.94/x
  3. Step 3: Cross multiply
    3,096.40x = 4,646.02 × 1,341.94
  4. Step 4: Simplify right side
    3,096.40x = 6,234,680.08
  5. Step 5: Solve for x
    x = 6,234,680.08/3,096.40
  6. Step 6: Final answer
    x = 2,013.53

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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.