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Finding the Fourth Proportional to 1,762.29, 2,431.62 and 1,131.84

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Solution

The fourth proportional to 1,762.29, 2,431.62 and 1,131.84 is: 1,561.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.29 : 2,431.62 = 1,131.84 : x
  2. Step 2: Convert to fraction form
    1,762.29/2,431.62 = 1,131.84/x
  3. Step 3: Cross multiply
    1,762.29x = 2,431.62 × 1,131.84
  4. Step 4: Simplify right side
    1,762.29x = 2,752,204.78
  5. Step 5: Solve for x
    x = 2,752,204.78/1,762.29
  6. Step 6: Final answer
    x = 1,561.72

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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.