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Finding the Fourth Proportional to 1,980.86, 2,734.46 and 1,184.46

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Solution

The fourth proportional to 1,980.86, 2,734.46 and 1,184.46 is: 1,635.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,980.86 : 2,734.46 = 1,184.46 : x
  2. Step 2: Convert to fraction form
    1,980.86/2,734.46 = 1,184.46/x
  3. Step 3: Cross multiply
    1,980.86x = 2,734.46 × 1,184.46
  4. Step 4: Simplify right side
    1,980.86x = 3,238,852.57
  5. Step 5: Solve for x
    x = 3,238,852.57/1,980.86
  6. Step 6: Final answer
    x = 1,635.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.