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Finding the Fourth Proportional to 2,970.28, 4,454.52 and 1,238.50

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Solution

The fourth proportional to 2,970.28, 4,454.52 and 1,238.50 is: 1,857.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.28 : 4,454.52 = 1,238.50 : x
  2. Step 2: Convert to fraction form
    2,970.28/4,454.52 = 1,238.50/x
  3. Step 3: Cross multiply
    2,970.28x = 4,454.52 × 1,238.50
  4. Step 4: Simplify right side
    2,970.28x = 5,516,923.02
  5. Step 5: Solve for x
    x = 5,516,923.02/2,970.28
  6. Step 6: Final answer
    x = 1,857.37

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Why These Related Problems?

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