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Finding the Fourth Proportional to 2,856.77, 4,280.73 and 1,980.98

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Solution

The fourth proportional to 2,856.77, 4,280.73 and 1,980.98 is: 2,968.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,856.77 : 4,280.73 = 1,980.98 : x
  2. Step 2: Convert to fraction form
    2,856.77/4,280.73 = 1,980.98/x
  3. Step 3: Cross multiply
    2,856.77x = 4,280.73 × 1,980.98
  4. Step 4: Simplify right side
    2,856.77x = 8,480,051.22
  5. Step 5: Solve for x
    x = 8,480,051.22/2,856.77
  6. Step 6: Final answer
    x = 2,968.41

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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.