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Finding the Fourth Proportional to 1,786.96, 2,466.02 and 1,001.02

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Solution

The fourth proportional to 1,786.96, 2,466.02 and 1,001.02 is: 1,381.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,786.96 : 2,466.02 = 1,001.02 : x
  2. Step 2: Convert to fraction form
    1,786.96/2,466.02 = 1,001.02/x
  3. Step 3: Cross multiply
    1,786.96x = 2,466.02 × 1,001.02
  4. Step 4: Simplify right side
    1,786.96x = 2,468,535.34
  5. Step 5: Solve for x
    x = 2,468,535.34/1,786.96
  6. Step 6: Final answer
    x = 1,381.42

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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.