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Finding the Fourth Proportional to 2,444.80, 3,662.72 and 1,415.68

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Solution

The fourth proportional to 2,444.80, 3,662.72 and 1,415.68 is: 2,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.80 : 3,662.72 = 1,415.68 : x
  2. Step 2: Convert to fraction form
    2,444.80/3,662.72 = 1,415.68/x
  3. Step 3: Cross multiply
    2,444.80x = 3,662.72 × 1,415.68
  4. Step 4: Simplify right side
    2,444.80x = 5,185,239.45
  5. Step 5: Solve for x
    x = 5,185,239.45/2,444.80
  6. Step 6: Final answer
    x = 2,120.93

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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.