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Finding the Fourth Proportional to 1,911.51, 2,860.02 and 1,131.93

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Solution

The fourth proportional to 1,911.51, 2,860.02 and 1,131.93 is: 1,693.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,911.51 : 2,860.02 = 1,131.93 : x
  2. Step 2: Convert to fraction form
    1,911.51/2,860.02 = 1,131.93/x
  3. Step 3: Cross multiply
    1,911.51x = 2,860.02 × 1,131.93
  4. Step 4: Simplify right side
    1,911.51x = 3,237,352.42
  5. Step 5: Solve for x
    x = 3,237,352.42/1,911.51
  6. Step 6: Final answer
    x = 1,693.61

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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.