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Finding the Fourth Proportional to 1,864.82, 2,570.28 and 1,274.33

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Solution

The fourth proportional to 1,864.82, 2,570.28 and 1,274.33 is: 1,756.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,864.82 : 2,570.28 = 1,274.33 : x
  2. Step 2: Convert to fraction form
    1,864.82/2,570.28 = 1,274.33/x
  3. Step 3: Cross multiply
    1,864.82x = 2,570.28 × 1,274.33
  4. Step 4: Simplify right side
    1,864.82x = 3,275,384.91
  5. Step 5: Solve for x
    x = 3,275,384.91/1,864.82
  6. Step 6: Final answer
    x = 1,756.41

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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.