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Finding the Fourth Proportional to 1,759.96, 2,643.06 and 1,571.80

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Solution

The fourth proportional to 1,759.96, 2,643.06 and 1,571.80 is: 2,360.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,759.96 : 2,643.06 = 1,571.80 : x
  2. Step 2: Convert to fraction form
    1,759.96/2,643.06 = 1,571.80/x
  3. Step 3: Cross multiply
    1,759.96x = 2,643.06 × 1,571.80
  4. Step 4: Simplify right side
    1,759.96x = 4,154,361.71
  5. Step 5: Solve for x
    x = 4,154,361.71/1,759.96
  6. Step 6: Final answer
    x = 2,360.49

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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.