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Finding the Fourth Proportional to 3,089.64, 4,636.90 and 1,359.48

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Solution

The fourth proportional to 3,089.64, 4,636.90 and 1,359.48 is: 2,040.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.64 : 4,636.90 = 1,359.48 : x
  2. Step 2: Convert to fraction form
    3,089.64/4,636.90 = 1,359.48/x
  3. Step 3: Cross multiply
    3,089.64x = 4,636.90 × 1,359.48
  4. Step 4: Simplify right side
    3,089.64x = 6,303,772.81
  5. Step 5: Solve for x
    x = 6,303,772.81/3,089.64
  6. Step 6: Final answer
    x = 2,040.29

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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.