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Finding the Fourth Proportional to 2,670.25, 3,684.85 and 1,491.30

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Solution

The fourth proportional to 2,670.25, 3,684.85 and 1,491.30 is: 2,057.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.25 : 3,684.85 = 1,491.30 : x
  2. Step 2: Convert to fraction form
    2,670.25/3,684.85 = 1,491.30/x
  3. Step 3: Cross multiply
    2,670.25x = 3,684.85 × 1,491.30
  4. Step 4: Simplify right side
    2,670.25x = 5,495,216.81
  5. Step 5: Solve for x
    x = 5,495,216.81/2,670.25
  6. Step 6: Final answer
    x = 2,057.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.