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Finding the Fourth Proportional to 3,024.93, 4,174.58 and 1,846

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Solution

The fourth proportional to 3,024.93, 4,174.58 and 1,846 is: 2,547.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,024.93 : 4,174.58 = 1,846 : x
  2. Step 2: Convert to fraction form
    3,024.93/4,174.58 = 1,846/x
  3. Step 3: Cross multiply
    3,024.93x = 4,174.58 × 1,846
  4. Step 4: Simplify right side
    3,024.93x = 7,706,274.68
  5. Step 5: Solve for x
    x = 7,706,274.68/3,024.93
  6. Step 6: Final answer
    x = 2,547.59

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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.