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Finding the Fourth Proportional to 3,114.88, 4,299.68 and 1,920.06

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Solution

The fourth proportional to 3,114.88, 4,299.68 and 1,920.06 is: 2,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,114.88 : 4,299.68 = 1,920.06 : x
  2. Step 2: Convert to fraction form
    3,114.88/4,299.68 = 1,920.06/x
  3. Step 3: Cross multiply
    3,114.88x = 4,299.68 × 1,920.06
  4. Step 4: Simplify right side
    3,114.88x = 8,255,643.58
  5. Step 5: Solve for x
    x = 8,255,643.58/3,114.88
  6. Step 6: Final answer
    x = 2,650.39

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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.