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Finding the Fourth Proportional to 2,339.57, 3,228.91 and 1,477.28

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Solution

The fourth proportional to 2,339.57, 3,228.91 and 1,477.28 is: 2,038.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,339.57 : 3,228.91 = 1,477.28 : x
  2. Step 2: Convert to fraction form
    2,339.57/3,228.91 = 1,477.28/x
  3. Step 3: Cross multiply
    2,339.57x = 3,228.91 × 1,477.28
  4. Step 4: Simplify right side
    2,339.57x = 4,770,008.54
  5. Step 5: Solve for x
    x = 4,770,008.54/2,339.57
  6. Step 6: Final answer
    x = 2,038.84

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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.