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Finding the Fourth Proportional to 2,904.69, 4,009.52 and 1,725.77

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Solution

The fourth proportional to 2,904.69, 4,009.52 and 1,725.77 is: 2,382.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.69 : 4,009.52 = 1,725.77 : x
  2. Step 2: Convert to fraction form
    2,904.69/4,009.52 = 1,725.77/x
  3. Step 3: Cross multiply
    2,904.69x = 4,009.52 × 1,725.77
  4. Step 4: Simplify right side
    2,904.69x = 6,919,509.33
  5. Step 5: Solve for x
    x = 6,919,509.33/2,904.69
  6. Step 6: Final answer
    x = 2,382.19

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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.