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Finding the Fourth Proportional to 4,096.69, 6,145.03 and 1,018.69

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Solution

The fourth proportional to 4,096.69, 6,145.03 and 1,018.69 is: 1,528.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,096.69 : 6,145.03 = 1,018.69 : x
  2. Step 2: Convert to fraction form
    4,096.69/6,145.03 = 1,018.69/x
  3. Step 3: Cross multiply
    4,096.69x = 6,145.03 × 1,018.69
  4. Step 4: Simplify right side
    4,096.69x = 6,259,866.52
  5. Step 5: Solve for x
    x = 6,259,866.52/4,096.69
  6. Step 6: Final answer
    x = 1,528.03

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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.