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Finding the Fourth Proportional to 3,072.95, 4,607.83 and 1,097.82

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Solution

The fourth proportional to 3,072.95, 4,607.83 and 1,097.82 is: 1,646.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.95 : 4,607.83 = 1,097.82 : x
  2. Step 2: Convert to fraction form
    3,072.95/4,607.83 = 1,097.82/x
  3. Step 3: Cross multiply
    3,072.95x = 4,607.83 × 1,097.82
  4. Step 4: Simplify right side
    3,072.95x = 5,058,569.30
  5. Step 5: Solve for x
    x = 5,058,569.30/3,072.95
  6. Step 6: Final answer
    x = 1,646.16

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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.