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Finding the Fourth Proportional to 2,282.58, 3,419.28 and 1,048.29

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Solution

The fourth proportional to 2,282.58, 3,419.28 and 1,048.29 is: 1,570.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282.58 : 3,419.28 = 1,048.29 : x
  2. Step 2: Convert to fraction form
    2,282.58/3,419.28 = 1,048.29/x
  3. Step 3: Cross multiply
    2,282.58x = 3,419.28 × 1,048.29
  4. Step 4: Simplify right side
    2,282.58x = 3,584,397.03
  5. Step 5: Solve for x
    x = 3,584,397.03/2,282.58
  6. Step 6: Final answer
    x = 1,570.33

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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.