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Finding the Fourth Proportional to 2,036.44, 3,054.69 and 497.44

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Solution

The fourth proportional to 2,036.44, 3,054.69 and 497.44 is: 746.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.44 : 3,054.69 = 497.44 : x
  2. Step 2: Convert to fraction form
    2,036.44/3,054.69 = 497.44/x
  3. Step 3: Cross multiply
    2,036.44x = 3,054.69 × 497.44
  4. Step 4: Simplify right side
    2,036.44x = 1,519,515.49
  5. Step 5: Solve for x
    x = 1,519,515.49/2,036.44
  6. Step 6: Final answer
    x = 746.16

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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.