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Finding the Fourth Proportional to 2,564.28, 3,538.44 and 1,445.28

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Solution

The fourth proportional to 2,564.28, 3,538.44 and 1,445.28 is: 1,994.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564.28 : 3,538.44 = 1,445.28 : x
  2. Step 2: Convert to fraction form
    2,564.28/3,538.44 = 1,445.28/x
  3. Step 3: Cross multiply
    2,564.28x = 3,538.44 × 1,445.28
  4. Step 4: Simplify right side
    2,564.28x = 5,114,036.56
  5. Step 5: Solve for x
    x = 5,114,036.56/2,564.28
  6. Step 6: Final answer
    x = 1,994.34

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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.