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Finding the Fourth Proportional to 2,970.50, 4,454.24 and 1,738.28

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Solution

The fourth proportional to 2,970.50, 4,454.24 and 1,738.28 is: 2,606.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.50 : 4,454.24 = 1,738.28 : x
  2. Step 2: Convert to fraction form
    2,970.50/4,454.24 = 1,738.28/x
  3. Step 3: Cross multiply
    2,970.50x = 4,454.24 × 1,738.28
  4. Step 4: Simplify right side
    2,970.50x = 7,742,698.38
  5. Step 5: Solve for x
    x = 7,742,698.38/2,970.50
  6. Step 6: Final answer
    x = 2,606.53

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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.