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Finding the Fourth Proportional to 1,975.90, 2,963.82 and 589.23

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Solution

The fourth proportional to 1,975.90, 2,963.82 and 589.23 is: 883.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.90 : 2,963.82 = 589.23 : x
  2. Step 2: Convert to fraction form
    1,975.90/2,963.82 = 589.23/x
  3. Step 3: Cross multiply
    1,975.90x = 2,963.82 × 589.23
  4. Step 4: Simplify right side
    1,975.90x = 1,746,371.66
  5. Step 5: Solve for x
    x = 1,746,371.66/1,975.90
  6. Step 6: Final answer
    x = 883.84

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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.