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Finding the Fourth Proportional to 1,416.44, 2,124.78 and 376.60

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Solution

The fourth proportional to 1,416.44, 2,124.78 and 376.60 is: 564.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.44 : 2,124.78 = 376.60 : x
  2. Step 2: Convert to fraction form
    1,416.44/2,124.78 = 376.60/x
  3. Step 3: Cross multiply
    1,416.44x = 2,124.78 × 376.60
  4. Step 4: Simplify right side
    1,416.44x = 800,192.15
  5. Step 5: Solve for x
    x = 800,192.15/1,416.44
  6. Step 6: Final answer
    x = 564.93

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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.