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Finding the Fourth Proportional to 2,670.84, 3,685.75 and 1,552.44

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Solution

The fourth proportional to 2,670.84, 3,685.75 and 1,552.44 is: 2,142.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.84 : 3,685.75 = 1,552.44 : x
  2. Step 2: Convert to fraction form
    2,670.84/3,685.75 = 1,552.44/x
  3. Step 3: Cross multiply
    2,670.84x = 3,685.75 × 1,552.44
  4. Step 4: Simplify right side
    2,670.84x = 5,721,879.54
  5. Step 5: Solve for x
    x = 5,721,879.54/2,670.84
  6. Step 6: Final answer
    x = 2,142.35

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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.