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Finding the Fourth Proportional to 2,017.48, 3,005.93 and 1,885

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Solution

The fourth proportional to 2,017.48, 3,005.93 and 1,885 is: 2,808.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.48 : 3,005.93 = 1,885 : x
  2. Step 2: Convert to fraction form
    2,017.48/3,005.93 = 1,885/x
  3. Step 3: Cross multiply
    2,017.48x = 3,005.93 × 1,885
  4. Step 4: Simplify right side
    2,017.48x = 5,666,178.05
  5. Step 5: Solve for x
    x = 5,666,178.05/2,017.48
  6. Step 6: Final answer
    x = 2,808.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.