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Finding the Fourth Proportional to 1,911.01, 2,860.84 and 1,042.69

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Solution

The fourth proportional to 1,911.01, 2,860.84 and 1,042.69 is: 1,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.01 : 2,860.84 = 1,042.69 : x
  2. Step 2: Convert to fraction form
    1,911.01/2,860.84 = 1,042.69/x
  3. Step 3: Cross multiply
    1,911.01x = 2,860.84 × 1,042.69
  4. Step 4: Simplify right side
    1,911.01x = 2,982,969.26
  5. Step 5: Solve for x
    x = 2,982,969.26/1,911.01
  6. Step 6: Final answer
    x = 1,560.94

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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.