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Finding the Fourth Proportional to 1,958.84, 2,706.89 and 1,485.89

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Solution

The fourth proportional to 1,958.84, 2,706.89 and 1,485.89 is: 2,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.84 : 2,706.89 = 1,485.89 : x
  2. Step 2: Convert to fraction form
    1,958.84/2,706.89 = 1,485.89/x
  3. Step 3: Cross multiply
    1,958.84x = 2,706.89 × 1,485.89
  4. Step 4: Simplify right side
    1,958.84x = 4,022,119.82
  5. Step 5: Solve for x
    x = 4,022,119.82/1,958.84
  6. Step 6: Final answer
    x = 2,053.32

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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.