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Finding the Fourth Proportional to 2,507.28, 3,763.36 and 1,535.28

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Solution

The fourth proportional to 2,507.28, 3,763.36 and 1,535.28 is: 2,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.28 : 3,763.36 = 1,535.28 : x
  2. Step 2: Convert to fraction form
    2,507.28/3,763.36 = 1,535.28/x
  3. Step 3: Cross multiply
    2,507.28x = 3,763.36 × 1,535.28
  4. Step 4: Simplify right side
    2,507.28x = 5,777,811.34
  5. Step 5: Solve for x
    x = 5,777,811.34/2,507.28
  6. Step 6: Final answer
    x = 2,304.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.