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Finding the Fourth Proportional to 1,642.04, 2,266.60 and 1,375.96

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Solution

The fourth proportional to 1,642.04, 2,266.60 and 1,375.96 is: 1,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.04 : 2,266.60 = 1,375.96 : x
  2. Step 2: Convert to fraction form
    1,642.04/2,266.60 = 1,375.96/x
  3. Step 3: Cross multiply
    1,642.04x = 2,266.60 × 1,375.96
  4. Step 4: Simplify right side
    1,642.04x = 3,118,750.94
  5. Step 5: Solve for x
    x = 3,118,750.94/1,642.04
  6. Step 6: Final answer
    x = 1,899.31

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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.