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Finding the Fourth Proportional to 1,676.45, 2,311.98 and 1,047.03

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Solution

The fourth proportional to 1,676.45, 2,311.98 and 1,047.03 is: 1,443.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.45 : 2,311.98 = 1,047.03 : x
  2. Step 2: Convert to fraction form
    1,676.45/2,311.98 = 1,047.03/x
  3. Step 3: Cross multiply
    1,676.45x = 2,311.98 × 1,047.03
  4. Step 4: Simplify right side
    1,676.45x = 2,420,712.42
  5. Step 5: Solve for x
    x = 2,420,712.42/1,676.45
  6. Step 6: Final answer
    x = 1,443.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.