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Finding the Fourth Proportional to 2,330.97, 3,493.31 and 1,290.93

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Solution

The fourth proportional to 2,330.97, 3,493.31 and 1,290.93 is: 1,934.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,330.97 : 3,493.31 = 1,290.93 : x
  2. Step 2: Convert to fraction form
    2,330.97/3,493.31 = 1,290.93/x
  3. Step 3: Cross multiply
    2,330.97x = 3,493.31 × 1,290.93
  4. Step 4: Simplify right side
    2,330.97x = 4,509,612.22
  5. Step 5: Solve for x
    x = 4,509,612.22/2,330.97
  6. Step 6: Final answer
    x = 1,934.65

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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.