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Finding the Fourth Proportional to 3,407.99, 4,703.99 and 1,991.99

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Solution

The fourth proportional to 3,407.99, 4,703.99 and 1,991.99 is: 2,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.99 : 4,703.99 = 1,991.99 : x
  2. Step 2: Convert to fraction form
    3,407.99/4,703.99 = 1,991.99/x
  3. Step 3: Cross multiply
    3,407.99x = 4,703.99 × 1,991.99
  4. Step 4: Simplify right side
    3,407.99x = 9,370,302.84
  5. Step 5: Solve for x
    x = 9,370,302.84/3,407.99
  6. Step 6: Final answer
    x = 2,749.51

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1.5x scale

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.