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Finding the Fourth Proportional to 2,065.45, 3,098.66 and 604.63

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Solution

The fourth proportional to 2,065.45, 3,098.66 and 604.63 is: 907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.45 : 3,098.66 = 604.63 : x
  2. Step 2: Convert to fraction form
    2,065.45/3,098.66 = 604.63/x
  3. Step 3: Cross multiply
    2,065.45x = 3,098.66 × 604.63
  4. Step 4: Simplify right side
    2,065.45x = 1,873,539.77
  5. Step 5: Solve for x
    x = 1,873,539.77/2,065.45
  6. Step 6: Final answer
    x = 907.09

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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.