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Finding the Fourth Proportional to 1,676.34, 2,513.10 and 1,309.98

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Solution

The fourth proportional to 1,676.34, 2,513.10 and 1,309.98 is: 1,963.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.34 : 2,513.10 = 1,309.98 : x
  2. Step 2: Convert to fraction form
    1,676.34/2,513.10 = 1,309.98/x
  3. Step 3: Cross multiply
    1,676.34x = 2,513.10 × 1,309.98
  4. Step 4: Simplify right side
    1,676.34x = 3,292,110.74
  5. Step 5: Solve for x
    x = 3,292,110.74/1,676.34
  6. Step 6: Final answer
    x = 1,963.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.