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Finding the Fourth Proportional to 1,923.37, 2,653.54 and 1,475.32

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Solution

The fourth proportional to 1,923.37, 2,653.54 and 1,475.32 is: 2,035.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,923.37 : 2,653.54 = 1,475.32 : x
  2. Step 2: Convert to fraction form
    1,923.37/2,653.54 = 1,475.32/x
  3. Step 3: Cross multiply
    1,923.37x = 2,653.54 × 1,475.32
  4. Step 4: Simplify right side
    1,923.37x = 3,914,810.31
  5. Step 5: Solve for x
    x = 3,914,810.31/1,923.37
  6. Step 6: Final answer
    x = 2,035.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.