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Finding the Fourth Proportional to 2,159.66, 3,238.80 and 926.74

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Solution

The fourth proportional to 2,159.66, 3,238.80 and 926.74 is: 1,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.66 : 3,238.80 = 926.74 : x
  2. Step 2: Convert to fraction form
    2,159.66/3,238.80 = 926.74/x
  3. Step 3: Cross multiply
    2,159.66x = 3,238.80 × 926.74
  4. Step 4: Simplify right side
    2,159.66x = 3,001,525.51
  5. Step 5: Solve for x
    x = 3,001,525.51/2,159.66
  6. Step 6: Final answer
    x = 1,389.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.