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Finding the Fourth Proportional to 1,372.60, 2,057.26 and 670.18

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Solution

The fourth proportional to 1,372.60, 2,057.26 and 670.18 is: 1,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.60 : 2,057.26 = 670.18 : x
  2. Step 2: Convert to fraction form
    1,372.60/2,057.26 = 670.18/x
  3. Step 3: Cross multiply
    1,372.60x = 2,057.26 × 670.18
  4. Step 4: Simplify right side
    1,372.60x = 1,378,734.51
  5. Step 5: Solve for x
    x = 1,378,734.51/1,372.60
  6. Step 6: Final answer
    x = 1,004.47

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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.