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Finding the Fourth Proportional to 3,114.33, 4,297.59 and 1,770

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Solution

The fourth proportional to 3,114.33, 4,297.59 and 1,770 is: 2,442.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.33 : 4,297.59 = 1,770 : x
  2. Step 2: Convert to fraction form
    3,114.33/4,297.59 = 1,770/x
  3. Step 3: Cross multiply
    3,114.33x = 4,297.59 × 1,770
  4. Step 4: Simplify right side
    3,114.33x = 7,606,734.30
  5. Step 5: Solve for x
    x = 7,606,734.30/3,114.33
  6. Step 6: Final answer
    x = 2,442.49

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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.