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Finding the Fourth Proportional to 2,460.56, 3,690.99 and 729.32

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Solution

The fourth proportional to 2,460.56, 3,690.99 and 729.32 is: 1,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,460.56 : 3,690.99 = 729.32 : x
  2. Step 2: Convert to fraction form
    2,460.56/3,690.99 = 729.32/x
  3. Step 3: Cross multiply
    2,460.56x = 3,690.99 × 729.32
  4. Step 4: Simplify right side
    2,460.56x = 2,691,894.37
  5. Step 5: Solve for x
    x = 2,691,894.37/2,460.56
  6. Step 6: Final answer
    x = 1,094.02

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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.