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Finding the Fourth Proportional to 1,749.88, 2,626.65 and 776.67

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Solution

The fourth proportional to 1,749.88, 2,626.65 and 776.67 is: 1,165.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,749.88 : 2,626.65 = 776.67 : x
  2. Step 2: Convert to fraction form
    1,749.88/2,626.65 = 776.67/x
  3. Step 3: Cross multiply
    1,749.88x = 2,626.65 × 776.67
  4. Step 4: Simplify right side
    1,749.88x = 2,040,040.26
  5. Step 5: Solve for x
    x = 2,040,040.26/1,749.88
  6. Step 6: Final answer
    x = 1,165.82

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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.