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Finding the Fourth Proportional to 2,997.51, 4,497.14 and 1,537.68

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Solution

The fourth proportional to 2,997.51, 4,497.14 and 1,537.68 is: 2,306.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,997.51 : 4,497.14 = 1,537.68 : x
  2. Step 2: Convert to fraction form
    2,997.51/4,497.14 = 1,537.68/x
  3. Step 3: Cross multiply
    2,997.51x = 4,497.14 × 1,537.68
  4. Step 4: Simplify right side
    2,997.51x = 6,915,132.06
  5. Step 5: Solve for x
    x = 6,915,132.06/2,997.51
  6. Step 6: Final answer
    x = 2,306.96

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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.