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Finding the Fourth Proportional to 3,032.93, 4,185.74 and 1,855.19

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Solution

The fourth proportional to 3,032.93, 4,185.74 and 1,855.19 is: 2,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,032.93 : 4,185.74 = 1,855.19 : x
  2. Step 2: Convert to fraction form
    3,032.93/4,185.74 = 1,855.19/x
  3. Step 3: Cross multiply
    3,032.93x = 4,185.74 × 1,855.19
  4. Step 4: Simplify right side
    3,032.93x = 7,765,333.71
  5. Step 5: Solve for x
    x = 7,765,333.71/3,032.93
  6. Step 6: Final answer
    x = 2,560.34

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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.