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Finding the Fourth Proportional to 3,124.74, 4,311.86 and 1,929.38

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Solution

The fourth proportional to 3,124.74, 4,311.86 and 1,929.38 is: 2,662.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,124.74 : 4,311.86 = 1,929.38 : x
  2. Step 2: Convert to fraction form
    3,124.74/4,311.86 = 1,929.38/x
  3. Step 3: Cross multiply
    3,124.74x = 4,311.86 × 1,929.38
  4. Step 4: Simplify right side
    3,124.74x = 8,319,216.45
  5. Step 5: Solve for x
    x = 8,319,216.45/3,124.74
  6. Step 6: Final answer
    x = 2,662.37

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1.5x scale

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.