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Finding the Fourth Proportional to 3,114.45, 4,673.70 and 1,798.20

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Solution

The fourth proportional to 3,114.45, 4,673.70 and 1,798.20 is: 2,698.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.45 : 4,673.70 = 1,798.20 : x
  2. Step 2: Convert to fraction form
    3,114.45/4,673.70 = 1,798.20/x
  3. Step 3: Cross multiply
    3,114.45x = 4,673.70 × 1,798.20
  4. Step 4: Simplify right side
    3,114.45x = 8,404,247.34
  5. Step 5: Solve for x
    x = 8,404,247.34/3,114.45
  6. Step 6: Final answer
    x = 2,698.47

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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.