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Finding the Fourth Proportional to 3,097.17, 4,642.25 and 1,538.26

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Solution

The fourth proportional to 3,097.17, 4,642.25 and 1,538.26 is: 2,305.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.17 : 4,642.25 = 1,538.26 : x
  2. Step 2: Convert to fraction form
    3,097.17/4,642.25 = 1,538.26/x
  3. Step 3: Cross multiply
    3,097.17x = 4,642.25 × 1,538.26
  4. Step 4: Simplify right side
    3,097.17x = 7,140,968.19
  5. Step 5: Solve for x
    x = 7,140,968.19/3,097.17
  6. Step 6: Final answer
    x = 2,305.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.