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Finding the Fourth Proportional to 1,874.40, 2,806.02 and 1,389.60

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Solution

The fourth proportional to 1,874.40, 2,806.02 and 1,389.60 is: 2,080.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,874.40 : 2,806.02 = 1,389.60 : x
  2. Step 2: Convert to fraction form
    1,874.40/2,806.02 = 1,389.60/x
  3. Step 3: Cross multiply
    1,874.40x = 2,806.02 × 1,389.60
  4. Step 4: Simplify right side
    1,874.40x = 3,899,245.39
  5. Step 5: Solve for x
    x = 3,899,245.39/1,874.40
  6. Step 6: Final answer
    x = 2,080.26

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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.