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Finding the Fourth Proportional to 1,830.66, 2,748.73 and 1,803.33

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Solution

The fourth proportional to 1,830.66, 2,748.73 and 1,803.33 is: 2,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830.66 : 2,748.73 = 1,803.33 : x
  2. Step 2: Convert to fraction form
    1,830.66/2,748.73 = 1,803.33/x
  3. Step 3: Cross multiply
    1,830.66x = 2,748.73 × 1,803.33
  4. Step 4: Simplify right side
    1,830.66x = 4,956,844.51
  5. Step 5: Solve for x
    x = 4,956,844.51/1,830.66
  6. Step 6: Final answer
    x = 2,707.68

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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.