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Finding the Fourth Proportional to 2,730.84, 4,096.22 and 783.02

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Solution

The fourth proportional to 2,730.84, 4,096.22 and 783.02 is: 1,174.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,730.84 : 4,096.22 = 783.02 : x
  2. Step 2: Convert to fraction form
    2,730.84/4,096.22 = 783.02/x
  3. Step 3: Cross multiply
    2,730.84x = 4,096.22 × 783.02
  4. Step 4: Simplify right side
    2,730.84x = 3,207,422.18
  5. Step 5: Solve for x
    x = 3,207,422.18/2,730.84
  6. Step 6: Final answer
    x = 1,174.52

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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.