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Finding the Fourth Proportional to 1,454.69, 2,007.84 and 923.88

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Solution

The fourth proportional to 1,454.69, 2,007.84 and 923.88 is: 1,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454.69 : 2,007.84 = 923.88 : x
  2. Step 2: Convert to fraction form
    1,454.69/2,007.84 = 923.88/x
  3. Step 3: Cross multiply
    1,454.69x = 2,007.84 × 923.88
  4. Step 4: Simplify right side
    1,454.69x = 1,855,003.22
  5. Step 5: Solve for x
    x = 1,855,003.22/1,454.69
  6. Step 6: Final answer
    x = 1,275.19

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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.