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Finding the Fourth Proportional to 2,017.60, 3,024.48 and 1,150.24

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Solution

The fourth proportional to 2,017.60, 3,024.48 and 1,150.24 is: 1,724.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.60 : 3,024.48 = 1,150.24 : x
  2. Step 2: Convert to fraction form
    2,017.60/3,024.48 = 1,150.24/x
  3. Step 3: Cross multiply
    2,017.60x = 3,024.48 × 1,150.24
  4. Step 4: Simplify right side
    2,017.60x = 3,478,877.88
  5. Step 5: Solve for x
    x = 3,478,877.88/2,017.60
  6. Step 6: Final answer
    x = 1,724.27

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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.