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Finding the Fourth Proportional to 1,575.46, 2,168.26 and 1,259.56

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Solution

The fourth proportional to 1,575.46, 2,168.26 and 1,259.56 is: 1,733.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.46 : 2,168.26 = 1,259.56 : x
  2. Step 2: Convert to fraction form
    1,575.46/2,168.26 = 1,259.56/x
  3. Step 3: Cross multiply
    1,575.46x = 2,168.26 × 1,259.56
  4. Step 4: Simplify right side
    1,575.46x = 2,731,053.57
  5. Step 5: Solve for x
    x = 2,731,053.57/1,575.46
  6. Step 6: Final answer
    x = 1,733.50

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