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Finding the Fourth Proportional to 2,970.75, 4,454.62 and 1,738.53

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Solution

The fourth proportional to 2,970.75, 4,454.62 and 1,738.53 is: 2,606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.75 : 4,454.62 = 1,738.53 : x
  2. Step 2: Convert to fraction form
    2,970.75/4,454.62 = 1,738.53/x
  3. Step 3: Cross multiply
    2,970.75x = 4,454.62 × 1,738.53
  4. Step 4: Simplify right side
    2,970.75x = 7,744,463.89
  5. Step 5: Solve for x
    x = 7,744,463.89/2,970.75
  6. Step 6: Final answer
    x = 2,606.91

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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.