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Finding the Fourth Proportional to 1,904.68, 2,868.75 and 1,769.48

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Solution

The fourth proportional to 1,904.68, 2,868.75 and 1,769.48 is: 2,665.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,904.68 : 2,868.75 = 1,769.48 : x
  2. Step 2: Convert to fraction form
    1,904.68/2,868.75 = 1,769.48/x
  3. Step 3: Cross multiply
    1,904.68x = 2,868.75 × 1,769.48
  4. Step 4: Simplify right side
    1,904.68x = 5,076,195.75
  5. Step 5: Solve for x
    x = 5,076,195.75/1,904.68
  6. Step 6: Final answer
    x = 2,665.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.