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Finding the Fourth Proportional to 2,180.99, 3,009.80 and 1,186.29

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Solution

The fourth proportional to 2,180.99, 3,009.80 and 1,186.29 is: 1,637.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.99 : 3,009.80 = 1,186.29 : x
  2. Step 2: Convert to fraction form
    2,180.99/3,009.80 = 1,186.29/x
  3. Step 3: Cross multiply
    2,180.99x = 3,009.80 × 1,186.29
  4. Step 4: Simplify right side
    2,180.99x = 3,570,498.61
  5. Step 5: Solve for x
    x = 3,570,498.61/2,180.99
  6. Step 6: Final answer
    x = 1,637.10

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