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Finding the Fourth Proportional to 2,036.13, 3,054.19 and 497.13

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Solution

The fourth proportional to 2,036.13, 3,054.19 and 497.13 is: 745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.13 : 3,054.19 = 497.13 : x
  2. Step 2: Convert to fraction form
    2,036.13/3,054.19 = 497.13/x
  3. Step 3: Cross multiply
    2,036.13x = 3,054.19 × 497.13
  4. Step 4: Simplify right side
    2,036.13x = 1,518,329.47
  5. Step 5: Solve for x
    x = 1,518,329.47/2,036.13
  6. Step 6: Final answer
    x = 745.69

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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.