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Finding the Fourth Proportional to 1,849, 2,775.40 and 1,442.58

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Solution

The fourth proportional to 1,849, 2,775.40 and 1,442.58 is: 2,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849 : 2,775.40 = 1,442.58 : x
  2. Step 2: Convert to fraction form
    1,849/2,775.40 = 1,442.58/x
  3. Step 3: Cross multiply
    1,849x = 2,775.40 × 1,442.58
  4. Step 4: Simplify right side
    1,849x = 4,003,736.53
  5. Step 5: Solve for x
    x = 4,003,736.53/1,849
  6. Step 6: Final answer
    x = 2,165.35

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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.