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Finding the Fourth Proportional to 1,751.15, 2,626.09 and 580.94

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Solution

The fourth proportional to 1,751.15, 2,626.09 and 580.94 is: 871.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.15 : 2,626.09 = 580.94 : x
  2. Step 2: Convert to fraction form
    1,751.15/2,626.09 = 580.94/x
  3. Step 3: Cross multiply
    1,751.15x = 2,626.09 × 580.94
  4. Step 4: Simplify right side
    1,751.15x = 1,525,595.99
  5. Step 5: Solve for x
    x = 1,525,595.99/1,751.15
  6. Step 6: Final answer
    x = 871.20

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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.