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Finding the Fourth Proportional to 2,139.15, 3,208.45 and 678.45

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Solution

The fourth proportional to 2,139.15, 3,208.45 and 678.45 is: 1,017.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.15 : 3,208.45 = 678.45 : x
  2. Step 2: Convert to fraction form
    2,139.15/3,208.45 = 678.45/x
  3. Step 3: Cross multiply
    2,139.15x = 3,208.45 × 678.45
  4. Step 4: Simplify right side
    2,139.15x = 2,176,772.90
  5. Step 5: Solve for x
    x = 2,176,772.90/2,139.15
  6. Step 6: Final answer
    x = 1,017.59

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1.5x scale

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.