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Finding the Fourth Proportional to 1,978.36, 2,963.85 and 1,775.50

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Solution

The fourth proportional to 1,978.36, 2,963.85 and 1,775.50 is: 2,659.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.36 : 2,963.85 = 1,775.50 : x
  2. Step 2: Convert to fraction form
    1,978.36/2,963.85 = 1,775.50/x
  3. Step 3: Cross multiply
    1,978.36x = 2,963.85 × 1,775.50
  4. Step 4: Simplify right side
    1,978.36x = 5,262,315.68
  5. Step 5: Solve for x
    x = 5,262,315.68/1,978.36
  6. Step 6: Final answer
    x = 2,659.94

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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.