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Finding the Fourth Proportional to 1,550.95, 2,140.73 and 913.44

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Solution

The fourth proportional to 1,550.95, 2,140.73 and 913.44 is: 1,260.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.95 : 2,140.73 = 913.44 : x
  2. Step 2: Convert to fraction form
    1,550.95/2,140.73 = 913.44/x
  3. Step 3: Cross multiply
    1,550.95x = 2,140.73 × 913.44
  4. Step 4: Simplify right side
    1,550.95x = 1,955,435.30
  5. Step 5: Solve for x
    x = 1,955,435.30/1,550.95
  6. Step 6: Final answer
    x = 1,260.80

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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.