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Finding the Fourth Proportional to 2,670.14, 3,984.80 and 2,378.54

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Solution

The fourth proportional to 2,670.14, 3,984.80 and 2,378.54 is: 3,549.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,670.14 : 3,984.80 = 2,378.54 : x
  2. Step 2: Convert to fraction form
    2,670.14/3,984.80 = 2,378.54/x
  3. Step 3: Cross multiply
    2,670.14x = 3,984.80 × 2,378.54
  4. Step 4: Simplify right side
    2,670.14x = 9,478,006.19
  5. Step 5: Solve for x
    x = 9,478,006.19/2,670.14
  6. Step 6: Final answer
    x = 3,549.63

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.