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Finding the Fourth Proportional to 2,760.69, 4,142.70 and 1,030.53

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Solution

The fourth proportional to 2,760.69, 4,142.70 and 1,030.53 is: 1,546.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.69 : 4,142.70 = 1,030.53 : x
  2. Step 2: Convert to fraction form
    2,760.69/4,142.70 = 1,030.53/x
  3. Step 3: Cross multiply
    2,760.69x = 4,142.70 × 1,030.53
  4. Step 4: Simplify right side
    2,760.69x = 4,269,176.63
  5. Step 5: Solve for x
    x = 4,269,176.63/2,760.69
  6. Step 6: Final answer
    x = 1,546.42

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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.