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Finding the Fourth Proportional to 2,948.88, 4,069.42 and 2,196.02

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Solution

The fourth proportional to 2,948.88, 4,069.42 and 2,196.02 is: 3,030.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.88 : 4,069.42 = 2,196.02 : x
  2. Step 2: Convert to fraction form
    2,948.88/4,069.42 = 2,196.02/x
  3. Step 3: Cross multiply
    2,948.88x = 4,069.42 × 2,196.02
  4. Step 4: Simplify right side
    2,948.88x = 8,936,527.71
  5. Step 5: Solve for x
    x = 8,936,527.71/2,948.88
  6. Step 6: Final answer
    x = 3,030.48

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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.