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Finding the Fourth Proportional to 1,409.67, 1,942.99 and 1,292.00

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Solution

The fourth proportional to 1,409.67, 1,942.99 and 1,292.00 is: 1,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.67 : 1,942.99 = 1,292.00 : x
  2. Step 2: Convert to fraction form
    1,409.67/1,942.99 = 1,292.00/x
  3. Step 3: Cross multiply
    1,409.67x = 1,942.99 × 1,292.00
  4. Step 4: Simplify right side
    1,409.67x = 2,510,330.14
  5. Step 5: Solve for x
    x = 2,510,330.14/1,409.67
  6. Step 6: Final answer
    x = 1,780.79

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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.