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Finding the Fourth Proportional to 2,224.80, 3,068.28 and 1,340.28

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Solution

The fourth proportional to 2,224.80, 3,068.28 and 1,340.28 is: 1,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,224.80 : 3,068.28 = 1,340.28 : x
  2. Step 2: Convert to fraction form
    2,224.80/3,068.28 = 1,340.28/x
  3. Step 3: Cross multiply
    2,224.80x = 3,068.28 × 1,340.28
  4. Step 4: Simplify right side
    2,224.80x = 4,112,354.32
  5. Step 5: Solve for x
    x = 4,112,354.32/2,224.80
  6. Step 6: Final answer
    x = 1,848.42

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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.