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Finding the Fourth Proportional to 2,910, 4,015.62 and 1,583.69

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Solution

The fourth proportional to 2,910, 4,015.62 and 1,583.69 is: 2,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910 : 4,015.62 = 1,583.69 : x
  2. Step 2: Convert to fraction form
    2,910/4,015.62 = 1,583.69/x
  3. Step 3: Cross multiply
    2,910x = 4,015.62 × 1,583.69
  4. Step 4: Simplify right side
    2,910x = 6,359,477.16
  5. Step 5: Solve for x
    x = 6,359,477.16/2,910
  6. Step 6: Final answer
    x = 2,185.39

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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.