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Finding the Fourth Proportional to 2,015.24, 3,019.41 and 975.74

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Solution

The fourth proportional to 2,015.24, 3,019.41 and 975.74 is: 1,461.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015.24 : 3,019.41 = 975.74 : x
  2. Step 2: Convert to fraction form
    2,015.24/3,019.41 = 975.74/x
  3. Step 3: Cross multiply
    2,015.24x = 3,019.41 × 975.74
  4. Step 4: Simplify right side
    2,015.24x = 2,946,144.02
  5. Step 5: Solve for x
    x = 2,946,144.02/2,015.24
  6. Step 6: Final answer
    x = 1,461.94

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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.