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Finding the Fourth Proportional to 2,969.04, 4,096.86 and 1,642.74

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Solution

The fourth proportional to 2,969.04, 4,096.86 and 1,642.74 is: 2,266.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.04 : 4,096.86 = 1,642.74 : x
  2. Step 2: Convert to fraction form
    2,969.04/4,096.86 = 1,642.74/x
  3. Step 3: Cross multiply
    2,969.04x = 4,096.86 × 1,642.74
  4. Step 4: Simplify right side
    2,969.04x = 6,730,075.80
  5. Step 5: Solve for x
    x = 6,730,075.80/2,969.04
  6. Step 6: Final answer
    x = 2,266.75

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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.