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Finding the Fourth Proportional to 1,880.14, 2,806.43 and 1,745.01

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Solution

The fourth proportional to 1,880.14, 2,806.43 and 1,745.01 is: 2,604.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,880.14 : 2,806.43 = 1,745.01 : x
  2. Step 2: Convert to fraction form
    1,880.14/2,806.43 = 1,745.01/x
  3. Step 3: Cross multiply
    1,880.14x = 2,806.43 × 1,745.01
  4. Step 4: Simplify right side
    1,880.14x = 4,897,225.66
  5. Step 5: Solve for x
    x = 4,897,225.66/1,880.14
  6. Step 6: Final answer
    x = 2,604.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.