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Finding the Fourth Proportional to 1,894.26, 2,614.26 and 1,108.14

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Solution

The fourth proportional to 1,894.26, 2,614.26 and 1,108.14 is: 1,529.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.26 : 2,614.26 = 1,108.14 : x
  2. Step 2: Convert to fraction form
    1,894.26/2,614.26 = 1,108.14/x
  3. Step 3: Cross multiply
    1,894.26x = 2,614.26 × 1,108.14
  4. Step 4: Simplify right side
    1,894.26x = 2,896,966.08
  5. Step 5: Solve for x
    x = 2,896,966.08/1,894.26
  6. Step 6: Final answer
    x = 1,529.34

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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.