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Finding the Fourth Proportional to 2,083.04, 3,124.66 and 784.41

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Solution

The fourth proportional to 2,083.04, 3,124.66 and 784.41 is: 1,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.04 : 3,124.66 = 784.41 : x
  2. Step 2: Convert to fraction form
    2,083.04/3,124.66 = 784.41/x
  3. Step 3: Cross multiply
    2,083.04x = 3,124.66 × 784.41
  4. Step 4: Simplify right side
    2,083.04x = 2,451,014.55
  5. Step 5: Solve for x
    x = 2,451,014.55/2,083.04
  6. Step 6: Final answer
    x = 1,176.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.