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Finding the Fourth Proportional to 1,757.43, 2,421.32 and 1,284.51

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Solution

The fourth proportional to 1,757.43, 2,421.32 and 1,284.51 is: 1,769.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,757.43 : 2,421.32 = 1,284.51 : x
  2. Step 2: Convert to fraction form
    1,757.43/2,421.32 = 1,284.51/x
  3. Step 3: Cross multiply
    1,757.43x = 2,421.32 × 1,284.51
  4. Step 4: Simplify right side
    1,757.43x = 3,110,203.33
  5. Step 5: Solve for x
    x = 3,110,203.33/1,757.43
  6. Step 6: Final answer
    x = 1,769.75

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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.