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Finding the Fourth Proportional to 1,975.28, 2,962.33 and 741.78

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Solution

The fourth proportional to 1,975.28, 2,962.33 and 741.78 is: 1,112.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.28 : 2,962.33 = 741.78 : x
  2. Step 2: Convert to fraction form
    1,975.28/2,962.33 = 741.78/x
  3. Step 3: Cross multiply
    1,975.28x = 2,962.33 × 741.78
  4. Step 4: Simplify right side
    1,975.28x = 2,197,395.29
  5. Step 5: Solve for x
    x = 2,197,395.29/1,975.28
  6. Step 6: Final answer
    x = 1,112.45

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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.