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Finding the Fourth Proportional to 3,072.61, 4,607.28 and 1,340.29

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Solution

The fourth proportional to 3,072.61, 4,607.28 and 1,340.29 is: 2,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.61 : 4,607.28 = 1,340.29 : x
  2. Step 2: Convert to fraction form
    3,072.61/4,607.28 = 1,340.29/x
  3. Step 3: Cross multiply
    3,072.61x = 4,607.28 × 1,340.29
  4. Step 4: Simplify right side
    3,072.61x = 6,175,068.27
  5. Step 5: Solve for x
    x = 6,175,068.27/3,072.61
  6. Step 6: Final answer
    x = 2,009.72

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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.