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Finding the Fourth Proportional to 2,159.65, 3,236.73 and 926.74

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Solution

The fourth proportional to 2,159.65, 3,236.73 and 926.74 is: 1,388.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.65 : 3,236.73 = 926.74 : x
  2. Step 2: Convert to fraction form
    2,159.65/3,236.73 = 926.74/x
  3. Step 3: Cross multiply
    2,159.65x = 3,236.73 × 926.74
  4. Step 4: Simplify right side
    2,159.65x = 2,999,607.16
  5. Step 5: Solve for x
    x = 2,999,607.16/2,159.65
  6. Step 6: Final answer
    x = 1,388.93

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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.