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Finding the Fourth Proportional to 2,969.06, 4,096.80 and 1,642.50

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Solution

The fourth proportional to 2,969.06, 4,096.80 and 1,642.50 is: 2,266.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.06 : 4,096.80 = 1,642.50 : x
  2. Step 2: Convert to fraction form
    2,969.06/4,096.80 = 1,642.50/x
  3. Step 3: Cross multiply
    2,969.06x = 4,096.80 × 1,642.50
  4. Step 4: Simplify right side
    2,969.06x = 6,728,994
  5. Step 5: Solve for x
    x = 6,728,994/2,969.06
  6. Step 6: Final answer
    x = 2,266.37

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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.