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Finding the Fourth Proportional to 1,335.19, 1,843.32 and 926.65

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Solution

The fourth proportional to 1,335.19, 1,843.32 and 926.65 is: 1,279.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,335.19 : 1,843.32 = 926.65 : x
  2. Step 2: Convert to fraction form
    1,335.19/1,843.32 = 926.65/x
  3. Step 3: Cross multiply
    1,335.19x = 1,843.32 × 926.65
  4. Step 4: Simplify right side
    1,335.19x = 1,708,102.68
  5. Step 5: Solve for x
    x = 1,708,102.68/1,335.19
  6. Step 6: Final answer
    x = 1,279.30

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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.