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Finding the Fourth Proportional to 1,482.69, 2,046.32 and 923.33

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Solution

The fourth proportional to 1,482.69, 2,046.32 and 923.33 is: 1,274.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,482.69 : 2,046.32 = 923.33 : x
  2. Step 2: Convert to fraction form
    1,482.69/2,046.32 = 923.33/x
  3. Step 3: Cross multiply
    1,482.69x = 2,046.32 × 923.33
  4. Step 4: Simplify right side
    1,482.69x = 1,889,437.80
  5. Step 5: Solve for x
    x = 1,889,437.80/1,482.69
  6. Step 6: Final answer
    x = 1,274.33

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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.