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Finding the Fourth Proportional to 3,109.84, 4,665.06 and 1,377.52

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Solution

The fourth proportional to 3,109.84, 4,665.06 and 1,377.52 is: 2,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.84 : 4,665.06 = 1,377.52 : x
  2. Step 2: Convert to fraction form
    3,109.84/4,665.06 = 1,377.52/x
  3. Step 3: Cross multiply
    3,109.84x = 4,665.06 × 1,377.52
  4. Step 4: Simplify right side
    3,109.84x = 6,426,213.45
  5. Step 5: Solve for x
    x = 6,426,213.45/3,109.84
  6. Step 6: Final answer
    x = 2,066.41

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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.