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Finding the Fourth Proportional to 2,611.76, 3,917.63 and 1,312.31

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Solution

The fourth proportional to 2,611.76, 3,917.63 and 1,312.31 is: 1,968.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,611.76 : 3,917.63 = 1,312.31 : x
  2. Step 2: Convert to fraction form
    2,611.76/3,917.63 = 1,312.31/x
  3. Step 3: Cross multiply
    2,611.76x = 3,917.63 × 1,312.31
  4. Step 4: Simplify right side
    2,611.76x = 5,141,158.10
  5. Step 5: Solve for x
    x = 5,141,158.10/2,611.76
  6. Step 6: Final answer
    x = 1,968.47

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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.