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Finding the Fourth Proportional to 2,149.84, 2,965.08 and 1,404.06

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Solution

The fourth proportional to 2,149.84, 2,965.08 and 1,404.06 is: 1,936.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.84 : 2,965.08 = 1,404.06 : x
  2. Step 2: Convert to fraction form
    2,149.84/2,965.08 = 1,404.06/x
  3. Step 3: Cross multiply
    2,149.84x = 2,965.08 × 1,404.06
  4. Step 4: Simplify right side
    2,149.84x = 4,163,150.22
  5. Step 5: Solve for x
    x = 4,163,150.22/2,149.84
  6. Step 6: Final answer
    x = 1,936.49

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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.