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Finding the Fourth Proportional to 1,975.37, 2,962.98 and 935.87

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Solution

The fourth proportional to 1,975.37, 2,962.98 and 935.87 is: 1,403.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.37 : 2,962.98 = 935.87 : x
  2. Step 2: Convert to fraction form
    1,975.37/2,962.98 = 935.87/x
  3. Step 3: Cross multiply
    1,975.37x = 2,962.98 × 935.87
  4. Step 4: Simplify right side
    1,975.37x = 2,772,949.28
  5. Step 5: Solve for x
    x = 2,772,949.28/1,975.37
  6. Step 6: Final answer
    x = 1,403.77

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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.