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Finding the Fourth Proportional to 2,619.67, 3,927.07 and 975.82

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Solution

The fourth proportional to 2,619.67, 3,927.07 and 975.82 is: 1,462.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619.67 : 3,927.07 = 975.82 : x
  2. Step 2: Convert to fraction form
    2,619.67/3,927.07 = 975.82/x
  3. Step 3: Cross multiply
    2,619.67x = 3,927.07 × 975.82
  4. Step 4: Simplify right side
    2,619.67x = 3,832,113.45
  5. Step 5: Solve for x
    x = 3,832,113.45/2,619.67
  6. Step 6: Final answer
    x = 1,462.82

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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.