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Finding the Fourth Proportional to 2,981.00, 4,109.54 and 2,349

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Solution

The fourth proportional to 2,981.00, 4,109.54 and 2,349 is: 3,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.00 : 4,109.54 = 2,349 : x
  2. Step 2: Convert to fraction form
    2,981.00/4,109.54 = 2,349/x
  3. Step 3: Cross multiply
    2,981.00x = 4,109.54 × 2,349
  4. Step 4: Simplify right side
    2,981.00x = 9,653,297.72
  5. Step 5: Solve for x
    x = 9,653,297.72/2,981.00
  6. Step 6: Final answer
    x = 3,238.27

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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.