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Finding the Fourth Proportional to 2,875.15, 3,967.18 and 1,696.15

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Solution

The fourth proportional to 2,875.15, 3,967.18 and 1,696.15 is: 2,340.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,875.15 : 3,967.18 = 1,696.15 : x
  2. Step 2: Convert to fraction form
    2,875.15/3,967.18 = 1,696.15/x
  3. Step 3: Cross multiply
    2,875.15x = 3,967.18 × 1,696.15
  4. Step 4: Simplify right side
    2,875.15x = 6,728,932.36
  5. Step 5: Solve for x
    x = 6,728,932.36/2,875.15
  6. Step 6: Final answer
    x = 2,340.38

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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.