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Finding the Fourth Proportional to 2,974.35, 4,462.02 and 1,026.03

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Solution

The fourth proportional to 2,974.35, 4,462.02 and 1,026.03 is: 1,539.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.35 : 4,462.02 = 1,026.03 : x
  2. Step 2: Convert to fraction form
    2,974.35/4,462.02 = 1,026.03/x
  3. Step 3: Cross multiply
    2,974.35x = 4,462.02 × 1,026.03
  4. Step 4: Simplify right side
    2,974.35x = 4,578,166.38
  5. Step 5: Solve for x
    x = 4,578,166.38/2,974.35
  6. Step 6: Final answer
    x = 1,539.22

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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.