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Finding the Fourth Proportional to 2,619.19, 3,929.02 and 671.41

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Solution

The fourth proportional to 2,619.19, 3,929.02 and 671.41 is: 1,007.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.19 : 3,929.02 = 671.41 : x
  2. Step 2: Convert to fraction form
    2,619.19/3,929.02 = 671.41/x
  3. Step 3: Cross multiply
    2,619.19x = 3,929.02 × 671.41
  4. Step 4: Simplify right side
    2,619.19x = 2,637,971.82
  5. Step 5: Solve for x
    x = 2,637,971.82/2,619.19
  6. Step 6: Final answer
    x = 1,007.17

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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.