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Finding the Fourth Proportional to 1,546.95, 2,317.34 and 930.32

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Solution

The fourth proportional to 1,546.95, 2,317.34 and 930.32 is: 1,393.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.95 : 2,317.34 = 930.32 : x
  2. Step 2: Convert to fraction form
    1,546.95/2,317.34 = 930.32/x
  3. Step 3: Cross multiply
    1,546.95x = 2,317.34 × 930.32
  4. Step 4: Simplify right side
    1,546.95x = 2,155,857.30
  5. Step 5: Solve for x
    x = 2,155,857.30/1,546.95
  6. Step 6: Final answer
    x = 1,393.62

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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.