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Finding the Fourth Proportional to 3,146.51, 4,340.27 and 2,263.51

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Solution

The fourth proportional to 3,146.51, 4,340.27 and 2,263.51 is: 3,122.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.51 : 4,340.27 = 2,263.51 : x
  2. Step 2: Convert to fraction form
    3,146.51/4,340.27 = 2,263.51/x
  3. Step 3: Cross multiply
    3,146.51x = 4,340.27 × 2,263.51
  4. Step 4: Simplify right side
    3,146.51x = 9,824,211.53
  5. Step 5: Solve for x
    x = 9,824,211.53/3,146.51
  6. Step 6: Final answer
    x = 3,122.26

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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.