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Finding the Fourth Proportional to 2,619.36, 3,927.09 and 975.60

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Solution

The fourth proportional to 2,619.36, 3,927.09 and 975.60 is: 1,462.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.36 : 3,927.09 = 975.60 : x
  2. Step 2: Convert to fraction form
    2,619.36/3,927.09 = 975.60/x
  3. Step 3: Cross multiply
    2,619.36x = 3,927.09 × 975.60
  4. Step 4: Simplify right side
    2,619.36x = 3,831,269.00
  5. Step 5: Solve for x
    x = 3,831,269.00/2,619.36
  6. Step 6: Final answer
    x = 1,462.67

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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.