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Finding the Fourth Proportional to 1,883.46, 2,823.48 and 712.68

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Solution

The fourth proportional to 1,883.46, 2,823.48 and 712.68 is: 1,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,883.46 : 2,823.48 = 712.68 : x
  2. Step 2: Convert to fraction form
    1,883.46/2,823.48 = 712.68/x
  3. Step 3: Cross multiply
    1,883.46x = 2,823.48 × 712.68
  4. Step 4: Simplify right side
    1,883.46x = 2,012,237.73
  5. Step 5: Solve for x
    x = 2,012,237.73/1,883.46
  6. Step 6: Final answer
    x = 1,068.37

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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.