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Finding the Fourth Proportional to 1,809.54, 2,494.26 and 1,477.38

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Solution

The fourth proportional to 1,809.54, 2,494.26 and 1,477.38 is: 2,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.54 : 2,494.26 = 1,477.38 : x
  2. Step 2: Convert to fraction form
    1,809.54/2,494.26 = 1,477.38/x
  3. Step 3: Cross multiply
    1,809.54x = 2,494.26 × 1,477.38
  4. Step 4: Simplify right side
    1,809.54x = 3,684,969.84
  5. Step 5: Solve for x
    x = 3,684,969.84/1,809.54
  6. Step 6: Final answer
    x = 2,036.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.