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Finding the Fourth Proportional to 3,098.17, 4,643.74 and 1,539.26

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Solution

The fourth proportional to 3,098.17, 4,643.74 and 1,539.26 is: 2,307.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,098.17 : 4,643.74 = 1,539.26 : x
  2. Step 2: Convert to fraction form
    3,098.17/4,643.74 = 1,539.26/x
  3. Step 3: Cross multiply
    3,098.17x = 4,643.74 × 1,539.26
  4. Step 4: Simplify right side
    3,098.17x = 7,147,923.23
  5. Step 5: Solve for x
    x = 7,147,923.23/3,098.17
  6. Step 6: Final answer
    x = 2,307.14

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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.