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Finding the Fourth Proportional to 2,968.99, 4,097.18 and 1,774.52

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Solution

The fourth proportional to 2,968.99, 4,097.18 and 1,774.52 is: 2,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,968.99 : 4,097.18 = 1,774.52 : x
  2. Step 2: Convert to fraction form
    2,968.99/4,097.18 = 1,774.52/x
  3. Step 3: Cross multiply
    2,968.99x = 4,097.18 × 1,774.52
  4. Step 4: Simplify right side
    2,968.99x = 7,270,527.17
  5. Step 5: Solve for x
    x = 7,270,527.17/2,968.99
  6. Step 6: Final answer
    x = 2,448.82

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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.