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Finding the Fourth Proportional to 3,107.98, 4,661.01 and 1,055.50

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Solution

The fourth proportional to 3,107.98, 4,661.01 and 1,055.50 is: 1,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.98 : 4,661.01 = 1,055.50 : x
  2. Step 2: Convert to fraction form
    3,107.98/4,661.01 = 1,055.50/x
  3. Step 3: Cross multiply
    3,107.98x = 4,661.01 × 1,055.50
  4. Step 4: Simplify right side
    3,107.98x = 4,919,696.06
  5. Step 5: Solve for x
    x = 4,919,696.06/3,107.98
  6. Step 6: Final answer
    x = 1,582.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.