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Finding the Fourth Proportional to 2,368.88, 3,555.24 and 1,214.96

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Solution

The fourth proportional to 2,368.88, 3,555.24 and 1,214.96 is: 1,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,368.88 : 3,555.24 = 1,214.96 : x
  2. Step 2: Convert to fraction form
    2,368.88/3,555.24 = 1,214.96/x
  3. Step 3: Cross multiply
    2,368.88x = 3,555.24 × 1,214.96
  4. Step 4: Simplify right side
    2,368.88x = 4,319,474.39
  5. Step 5: Solve for x
    x = 4,319,474.39/2,368.88
  6. Step 6: Final answer
    x = 1,823.42

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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.