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Finding the Fourth Proportional to 3,024.53, 4,173.54 and 1,698.38

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Solution

The fourth proportional to 3,024.53, 4,173.54 and 1,698.38 is: 2,343.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.53 : 4,173.54 = 1,698.38 : x
  2. Step 2: Convert to fraction form
    3,024.53/4,173.54 = 1,698.38/x
  3. Step 3: Cross multiply
    3,024.53x = 4,173.54 × 1,698.38
  4. Step 4: Simplify right side
    3,024.53x = 7,088,256.87
  5. Step 5: Solve for x
    x = 7,088,256.87/3,024.53
  6. Step 6: Final answer
    x = 2,343.59

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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.