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Finding the Fourth Proportional to 1,546.89, 2,317.24 and 930.26

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Solution

The fourth proportional to 1,546.89, 2,317.24 and 930.26 is: 1,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.89 : 2,317.24 = 930.26 : x
  2. Step 2: Convert to fraction form
    1,546.89/2,317.24 = 930.26/x
  3. Step 3: Cross multiply
    1,546.89x = 2,317.24 × 930.26
  4. Step 4: Simplify right side
    1,546.89x = 2,155,632.21
  5. Step 5: Solve for x
    x = 2,155,632.21/1,546.89
  6. Step 6: Final answer
    x = 1,393.53

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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.