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Finding the Fourth Proportional to 3,044.94, 4,570.65 and 1,891.50

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Solution

The fourth proportional to 3,044.94, 4,570.65 and 1,891.50 is: 2,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,044.94 : 4,570.65 = 1,891.50 : x
  2. Step 2: Convert to fraction form
    3,044.94/4,570.65 = 1,891.50/x
  3. Step 3: Cross multiply
    3,044.94x = 4,570.65 × 1,891.50
  4. Step 4: Simplify right side
    3,044.94x = 8,645,384.48
  5. Step 5: Solve for x
    x = 8,645,384.48/3,044.94
  6. Step 6: Final answer
    x = 2,839.26

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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.