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Finding the Fourth Proportional to 2,036.48, 2,809.44 and 1,208

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Solution

The fourth proportional to 2,036.48, 2,809.44 and 1,208 is: 1,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,036.48 : 2,809.44 = 1,208 : x
  2. Step 2: Convert to fraction form
    2,036.48/2,809.44 = 1,208/x
  3. Step 3: Cross multiply
    2,036.48x = 2,809.44 × 1,208
  4. Step 4: Simplify right side
    2,036.48x = 3,393,803.52
  5. Step 5: Solve for x
    x = 3,393,803.52/2,036.48
  6. Step 6: Final answer
    x = 1,666.50

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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.