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Finding the Fourth Proportional to 2,138.71, 3,208.35 and 751.93

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Solution

The fourth proportional to 2,138.71, 3,208.35 and 751.93 is: 1,128.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.71 : 3,208.35 = 751.93 : x
  2. Step 2: Convert to fraction form
    2,138.71/3,208.35 = 751.93/x
  3. Step 3: Cross multiply
    2,138.71x = 3,208.35 × 751.93
  4. Step 4: Simplify right side
    2,138.71x = 2,412,454.62
  5. Step 5: Solve for x
    x = 2,412,454.62/2,138.71
  6. Step 6: Final answer
    x = 1,128.00

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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.