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Finding the Fourth Proportional to 2,997.39, 4,495.77 and 1,415.73

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Solution

The fourth proportional to 2,997.39, 4,495.77 and 1,415.73 is: 2,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.39 : 4,495.77 = 1,415.73 : x
  2. Step 2: Convert to fraction form
    2,997.39/4,495.77 = 1,415.73/x
  3. Step 3: Cross multiply
    2,997.39x = 4,495.77 × 1,415.73
  4. Step 4: Simplify right side
    2,997.39x = 6,364,796.46
  5. Step 5: Solve for x
    x = 6,364,796.46/2,997.39
  6. Step 6: Final answer
    x = 2,123.45

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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.