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Finding the Fourth Proportional to 1,975.65, 2,963.78 and 743.15

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Solution

The fourth proportional to 1,975.65, 2,963.78 and 743.15 is: 1,114.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.65 : 2,963.78 = 743.15 : x
  2. Step 2: Convert to fraction form
    1,975.65/2,963.78 = 743.15/x
  3. Step 3: Cross multiply
    1,975.65x = 2,963.78 × 743.15
  4. Step 4: Simplify right side
    1,975.65x = 2,202,533.11
  5. Step 5: Solve for x
    x = 2,202,533.11/1,975.65
  6. Step 6: Final answer
    x = 1,114.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.