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Finding the Fourth Proportional to 3,100.16, 4,277.85 and 1,841.63

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Solution

The fourth proportional to 3,100.16, 4,277.85 and 1,841.63 is: 2,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,100.16 : 4,277.85 = 1,841.63 : x
  2. Step 2: Convert to fraction form
    3,100.16/4,277.85 = 1,841.63/x
  3. Step 3: Cross multiply
    3,100.16x = 4,277.85 × 1,841.63
  4. Step 4: Simplify right side
    3,100.16x = 7,878,195.51
  5. Step 5: Solve for x
    x = 7,878,195.51/3,100.16
  6. Step 6: Final answer
    x = 2,541.23

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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.