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Finding the Fourth Proportional to 3,124.66, 4,312.03 and 1,727.41

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Solution

The fourth proportional to 3,124.66, 4,312.03 and 1,727.41 is: 2,383.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.66 : 4,312.03 = 1,727.41 : x
  2. Step 2: Convert to fraction form
    3,124.66/4,312.03 = 1,727.41/x
  3. Step 3: Cross multiply
    3,124.66x = 4,312.03 × 1,727.41
  4. Step 4: Simplify right side
    3,124.66x = 7,448,643.74
  5. Step 5: Solve for x
    x = 7,448,643.74/3,124.66
  6. Step 6: Final answer
    x = 2,383.83

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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.