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Finding the Fourth Proportional to 1,453.57, 2,180.78 and 1,014.63

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Solution

The fourth proportional to 1,453.57, 2,180.78 and 1,014.63 is: 1,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.57 : 2,180.78 = 1,014.63 : x
  2. Step 2: Convert to fraction form
    1,453.57/2,180.78 = 1,014.63/x
  3. Step 3: Cross multiply
    1,453.57x = 2,180.78 × 1,014.63
  4. Step 4: Simplify right side
    1,453.57x = 2,212,679.74
  5. Step 5: Solve for x
    x = 2,212,679.74/1,453.57
  6. Step 6: Final answer
    x = 1,522.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.