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Finding the Fourth Proportional to 2,616.41, 3,610.85 and 1,497.70

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Solution

The fourth proportional to 2,616.41, 3,610.85 and 1,497.70 is: 2,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.41 : 3,610.85 = 1,497.70 : x
  2. Step 2: Convert to fraction form
    2,616.41/3,610.85 = 1,497.70/x
  3. Step 3: Cross multiply
    2,616.41x = 3,610.85 × 1,497.70
  4. Step 4: Simplify right side
    2,616.41x = 5,407,953.53
  5. Step 5: Solve for x
    x = 5,407,953.53/2,616.41
  6. Step 6: Final answer
    x = 2,066.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.