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Finding the Fourth Proportional to 1,676.77, 2,516.30 and 581.14

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Solution

The fourth proportional to 1,676.77, 2,516.30 and 581.14 is: 872.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,676.77 : 2,516.30 = 581.14 : x
  2. Step 2: Convert to fraction form
    1,676.77/2,516.30 = 581.14/x
  3. Step 3: Cross multiply
    1,676.77x = 2,516.30 × 581.14
  4. Step 4: Simplify right side
    1,676.77x = 1,462,317.74
  5. Step 5: Solve for x
    x = 1,462,317.74/1,676.77
  6. Step 6: Final answer
    x = 872.11

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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.