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Finding the Fourth Proportional to 1,985.88, 2,975.58 and 1,910.04

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Solution

The fourth proportional to 1,985.88, 2,975.58 and 1,910.04 is: 2,861.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.88 : 2,975.58 = 1,910.04 : x
  2. Step 2: Convert to fraction form
    1,985.88/2,975.58 = 1,910.04/x
  3. Step 3: Cross multiply
    1,985.88x = 2,975.58 × 1,910.04
  4. Step 4: Simplify right side
    1,985.88x = 5,683,476.82
  5. Step 5: Solve for x
    x = 5,683,476.82/1,985.88
  6. Step 6: Final answer
    x = 2,861.94

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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.