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Finding the Fourth Proportional to 2,772.67, 4,160.04 and 1,312.06

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Solution

The fourth proportional to 2,772.67, 4,160.04 and 1,312.06 is: 1,968.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.67 : 4,160.04 = 1,312.06 : x
  2. Step 2: Convert to fraction form
    2,772.67/4,160.04 = 1,312.06/x
  3. Step 3: Cross multiply
    2,772.67x = 4,160.04 × 1,312.06
  4. Step 4: Simplify right side
    2,772.67x = 5,458,222.08
  5. Step 5: Solve for x
    x = 5,458,222.08/2,772.67
  6. Step 6: Final answer
    x = 1,968.58

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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.