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Finding the Fourth Proportional to 3,096.61, 4,643.49 and 1,340.80

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Solution

The fourth proportional to 3,096.61, 4,643.49 and 1,340.80 is: 2,010.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.61 : 4,643.49 = 1,340.80 : x
  2. Step 2: Convert to fraction form
    3,096.61/4,643.49 = 1,340.80/x
  3. Step 3: Cross multiply
    3,096.61x = 4,643.49 × 1,340.80
  4. Step 4: Simplify right side
    3,096.61x = 6,225,968.17
  5. Step 5: Solve for x
    x = 6,225,968.17/3,096.61
  6. Step 6: Final answer
    x = 2,010.58

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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.