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Finding the Fourth Proportional to 2,155.28, 2,975.47 and 1,448.15

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Solution

The fourth proportional to 2,155.28, 2,975.47 and 1,448.15 is: 1,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,155.28 : 2,975.47 = 1,448.15 : x
  2. Step 2: Convert to fraction form
    2,155.28/2,975.47 = 1,448.15/x
  3. Step 3: Cross multiply
    2,155.28x = 2,975.47 × 1,448.15
  4. Step 4: Simplify right side
    2,155.28x = 4,308,908.38
  5. Step 5: Solve for x
    x = 4,308,908.38/2,155.28
  6. Step 6: Final answer
    x = 1,999.24

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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.