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Finding the Fourth Proportional to 2,995.85, 4,495.30 and 1,148.18

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Solution

The fourth proportional to 2,995.85, 4,495.30 and 1,148.18 is: 1,722.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,995.85 : 4,495.30 = 1,148.18 : x
  2. Step 2: Convert to fraction form
    2,995.85/4,495.30 = 1,148.18/x
  3. Step 3: Cross multiply
    2,995.85x = 4,495.30 × 1,148.18
  4. Step 4: Simplify right side
    2,995.85x = 5,161,388.21
  5. Step 5: Solve for x
    x = 5,161,388.21/2,995.85
  6. Step 6: Final answer
    x = 1,722.84

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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.