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Finding the Fourth Proportional to 2,023.79, 3,033.45 and 853.46

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Solution

The fourth proportional to 2,023.79, 3,033.45 and 853.46 is: 1,279.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.79 : 3,033.45 = 853.46 : x
  2. Step 2: Convert to fraction form
    2,023.79/3,033.45 = 853.46/x
  3. Step 3: Cross multiply
    2,023.79x = 3,033.45 × 853.46
  4. Step 4: Simplify right side
    2,023.79x = 2,588,928.24
  5. Step 5: Solve for x
    x = 2,588,928.24/2,023.79
  6. Step 6: Final answer
    x = 1,279.25

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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.