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Finding the Fourth Proportional to 2,272.48, 3,137 and 1,328.08

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Solution

The fourth proportional to 2,272.48, 3,137 and 1,328.08 is: 1,833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,272.48 : 3,137 = 1,328.08 : x
  2. Step 2: Convert to fraction form
    2,272.48/3,137 = 1,328.08/x
  3. Step 3: Cross multiply
    2,272.48x = 3,137 × 1,328.08
  4. Step 4: Simplify right side
    2,272.48x = 4,166,186.96
  5. Step 5: Solve for x
    x = 4,166,186.96/2,272.48
  6. Step 6: Final answer
    x = 1,833.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.