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Finding the Fourth Proportional to 1,809.16, 2,700.77 and 1,729.37

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Solution

The fourth proportional to 1,809.16, 2,700.77 and 1,729.37 is: 2,581.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809.16 : 2,700.77 = 1,729.37 : x
  2. Step 2: Convert to fraction form
    1,809.16/2,700.77 = 1,729.37/x
  3. Step 3: Cross multiply
    1,809.16x = 2,700.77 × 1,729.37
  4. Step 4: Simplify right side
    1,809.16x = 4,670,630.61
  5. Step 5: Solve for x
    x = 4,670,630.61/1,809.16
  6. Step 6: Final answer
    x = 2,581.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.