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Finding the Fourth Proportional to 2,981.57, 4,470.63 and 1,131.50

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Solution

The fourth proportional to 2,981.57, 4,470.63 and 1,131.50 is: 1,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,981.57 : 4,470.63 = 1,131.50 : x
  2. Step 2: Convert to fraction form
    2,981.57/4,470.63 = 1,131.50/x
  3. Step 3: Cross multiply
    2,981.57x = 4,470.63 × 1,131.50
  4. Step 4: Simplify right side
    2,981.57x = 5,058,495.49
  5. Step 5: Solve for x
    x = 5,058,495.49/2,981.57
  6. Step 6: Final answer
    x = 1,696.59

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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.