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Finding the Fourth Proportional to 1,975.94, 2,724.33 and 1,266.62

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Solution

The fourth proportional to 1,975.94, 2,724.33 and 1,266.62 is: 1,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.94 : 2,724.33 = 1,266.62 : x
  2. Step 2: Convert to fraction form
    1,975.94/2,724.33 = 1,266.62/x
  3. Step 3: Cross multiply
    1,975.94x = 2,724.33 × 1,266.62
  4. Step 4: Simplify right side
    1,975.94x = 3,450,677.24
  5. Step 5: Solve for x
    x = 3,450,677.24/1,975.94
  6. Step 6: Final answer
    x = 1,746.35

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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.