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Finding the Fourth Proportional to 2,284.85, 3,153.03 and 1,290.22

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Solution

The fourth proportional to 2,284.85, 3,153.03 and 1,290.22 is: 1,780.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,284.85 : 3,153.03 = 1,290.22 : x
  2. Step 2: Convert to fraction form
    2,284.85/3,153.03 = 1,290.22/x
  3. Step 3: Cross multiply
    2,284.85x = 3,153.03 × 1,290.22
  4. Step 4: Simplify right side
    2,284.85x = 4,068,102.37
  5. Step 5: Solve for x
    x = 4,068,102.37/2,284.85
  6. Step 6: Final answer
    x = 1,780.47

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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.