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Finding the Fourth Proportional to 2,164.77, 2,987.91 and 1,326.06

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Solution

The fourth proportional to 2,164.77, 2,987.91 and 1,326.06 is: 1,830.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.77 : 2,987.91 = 1,326.06 : x
  2. Step 2: Convert to fraction form
    2,164.77/2,987.91 = 1,326.06/x
  3. Step 3: Cross multiply
    2,164.77x = 2,987.91 × 1,326.06
  4. Step 4: Simplify right side
    2,164.77x = 3,962,147.93
  5. Step 5: Solve for x
    x = 3,962,147.93/2,164.77
  6. Step 6: Final answer
    x = 1,830.29

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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.