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Finding the Fourth Proportional to 2,036.23, 3,054.32 and 497.23

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Solution

The fourth proportional to 2,036.23, 3,054.32 and 497.23 is: 745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.23 : 3,054.32 = 497.23 : x
  2. Step 2: Convert to fraction form
    2,036.23/3,054.32 = 497.23/x
  3. Step 3: Cross multiply
    2,036.23x = 3,054.32 × 497.23
  4. Step 4: Simplify right side
    2,036.23x = 1,518,700.78
  5. Step 5: Solve for x
    x = 1,518,700.78/2,036.23
  6. Step 6: Final answer
    x = 745.84

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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.