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Finding the Fourth Proportional to 1,907.84, 2,859.81 and 737.51

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Solution

The fourth proportional to 1,907.84, 2,859.81 and 737.51 is: 1,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,907.84 : 2,859.81 = 737.51 : x
  2. Step 2: Convert to fraction form
    1,907.84/2,859.81 = 737.51/x
  3. Step 3: Cross multiply
    1,907.84x = 2,859.81 × 737.51
  4. Step 4: Simplify right side
    1,907.84x = 2,109,138.47
  5. Step 5: Solve for x
    x = 2,109,138.47/1,907.84
  6. Step 6: Final answer
    x = 1,105.51

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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.