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Finding the Fourth Proportional to 1,970.94, 2,719.35 and 1,184.43

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Solution

The fourth proportional to 1,970.94, 2,719.35 and 1,184.43 is: 1,634.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.94 : 2,719.35 = 1,184.43 : x
  2. Step 2: Convert to fraction form
    1,970.94/2,719.35 = 1,184.43/x
  3. Step 3: Cross multiply
    1,970.94x = 2,719.35 × 1,184.43
  4. Step 4: Simplify right side
    1,970.94x = 3,220,879.72
  5. Step 5: Solve for x
    x = 3,220,879.72/1,970.94
  6. Step 6: Final answer
    x = 1,634.18

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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.