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Finding the Fourth Proportional to 1,655.88, 2,480.58 and 923.24

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Solution

The fourth proportional to 1,655.88, 2,480.58 and 923.24 is: 1,383.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.88 : 2,480.58 = 923.24 : x
  2. Step 2: Convert to fraction form
    1,655.88/2,480.58 = 923.24/x
  3. Step 3: Cross multiply
    1,655.88x = 2,480.58 × 923.24
  4. Step 4: Simplify right side
    1,655.88x = 2,290,170.68
  5. Step 5: Solve for x
    x = 2,290,170.68/1,655.88
  6. Step 6: Final answer
    x = 1,383.05

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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.