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Finding the Fourth Proportional to 2,036.94, 3,055.44 and 497.94

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Solution

The fourth proportional to 2,036.94, 3,055.44 and 497.94 is: 746.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.94 : 3,055.44 = 497.94 : x
  2. Step 2: Convert to fraction form
    2,036.94/3,055.44 = 497.94/x
  3. Step 3: Cross multiply
    2,036.94x = 3,055.44 × 497.94
  4. Step 4: Simplify right side
    2,036.94x = 1,521,423.30
  5. Step 5: Solve for x
    x = 1,521,423.30/2,036.94
  6. Step 6: Final answer
    x = 746.92

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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.