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Finding the Fourth Proportional to 3,185.34, 4,395.78 and 1,788

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Solution

The fourth proportional to 3,185.34, 4,395.78 and 1,788 is: 2,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,185.34 : 4,395.78 = 1,788 : x
  2. Step 2: Convert to fraction form
    3,185.34/4,395.78 = 1,788/x
  3. Step 3: Cross multiply
    3,185.34x = 4,395.78 × 1,788
  4. Step 4: Simplify right side
    3,185.34x = 7,859,654.64
  5. Step 5: Solve for x
    x = 7,859,654.64/3,185.34
  6. Step 6: Final answer
    x = 2,467.45

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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.