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Finding the Fourth Proportional to 1,500.81, 2,238.41 and 1,448.57

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Solution

The fourth proportional to 1,500.81, 2,238.41 and 1,448.57 is: 2,160.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.81 : 2,238.41 = 1,448.57 : x
  2. Step 2: Convert to fraction form
    1,500.81/2,238.41 = 1,448.57/x
  3. Step 3: Cross multiply
    1,500.81x = 2,238.41 × 1,448.57
  4. Step 4: Simplify right side
    1,500.81x = 3,242,475.14
  5. Step 5: Solve for x
    x = 3,242,475.14/1,500.81
  6. Step 6: Final answer
    x = 2,160.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.