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Finding the Fourth Proportional to 2,228.88, 3,077.04 and 1,483.84

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Solution

The fourth proportional to 2,228.88, 3,077.04 and 1,483.84 is: 2,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228.88 : 3,077.04 = 1,483.84 : x
  2. Step 2: Convert to fraction form
    2,228.88/3,077.04 = 1,483.84/x
  3. Step 3: Cross multiply
    2,228.88x = 3,077.04 × 1,483.84
  4. Step 4: Simplify right side
    2,228.88x = 4,565,835.03
  5. Step 5: Solve for x
    x = 4,565,835.03/2,228.88
  6. Step 6: Final answer
    x = 2,048.49

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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.