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Finding the Fourth Proportional to 1,958.77, 2,703.19 and 1,119.67

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Solution

The fourth proportional to 1,958.77, 2,703.19 and 1,119.67 is: 1,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.77 : 2,703.19 = 1,119.67 : x
  2. Step 2: Convert to fraction form
    1,958.77/2,703.19 = 1,119.67/x
  3. Step 3: Cross multiply
    1,958.77x = 2,703.19 × 1,119.67
  4. Step 4: Simplify right side
    1,958.77x = 3,026,673.29
  5. Step 5: Solve for x
    x = 3,026,673.29/1,958.77
  6. Step 6: Final answer
    x = 1,545.19

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Why These Related Problems?

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