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Finding the Fourth Proportional to 2,108.70, 2,911.14 and 1,480.14

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Solution

The fourth proportional to 2,108.70, 2,911.14 and 1,480.14 is: 2,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108.70 : 2,911.14 = 1,480.14 : x
  2. Step 2: Convert to fraction form
    2,108.70/2,911.14 = 1,480.14/x
  3. Step 3: Cross multiply
    2,108.70x = 2,911.14 × 1,480.14
  4. Step 4: Simplify right side
    2,108.70x = 4,308,894.76
  5. Step 5: Solve for x
    x = 4,308,894.76/2,108.70
  6. Step 6: Final answer
    x = 2,043.39

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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.