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Finding the Fourth Proportional to 2,036.63, 3,054.95 and 497.63

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Solution

The fourth proportional to 2,036.63, 3,054.95 and 497.63 is: 746.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.63 : 3,054.95 = 497.63 : x
  2. Step 2: Convert to fraction form
    2,036.63/3,054.95 = 497.63/x
  3. Step 3: Cross multiply
    2,036.63x = 3,054.95 × 497.63
  4. Step 4: Simplify right side
    2,036.63x = 1,520,217.01
  5. Step 5: Solve for x
    x = 1,520,217.01/2,036.63
  6. Step 6: Final answer
    x = 746.44

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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.