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Finding the Fourth Proportional to 2,058.21, 3,085.16 and 961.67

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Solution

The fourth proportional to 2,058.21, 3,085.16 and 961.67 is: 1,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058.21 : 3,085.16 = 961.67 : x
  2. Step 2: Convert to fraction form
    2,058.21/3,085.16 = 961.67/x
  3. Step 3: Cross multiply
    2,058.21x = 3,085.16 × 961.67
  4. Step 4: Simplify right side
    2,058.21x = 2,966,908.72
  5. Step 5: Solve for x
    x = 2,966,908.72/2,058.21
  6. Step 6: Final answer
    x = 1,441.50

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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.