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Finding the Fourth Proportional to 2,376.96, 3,562.56 and 1,219.20

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Solution

The fourth proportional to 2,376.96, 3,562.56 and 1,219.20 is: 1,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.96 : 3,562.56 = 1,219.20 : x
  2. Step 2: Convert to fraction form
    2,376.96/3,562.56 = 1,219.20/x
  3. Step 3: Cross multiply
    2,376.96x = 3,562.56 × 1,219.20
  4. Step 4: Simplify right side
    2,376.96x = 4,343,473.15
  5. Step 5: Solve for x
    x = 4,343,473.15/2,376.96
  6. Step 6: Final answer
    x = 1,827.32

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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.