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Finding the Fourth Proportional to 2,758.77, 4,133.84 and 2,346.21

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Solution

The fourth proportional to 2,758.77, 4,133.84 and 2,346.21 is: 3,515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.77 : 4,133.84 = 2,346.21 : x
  2. Step 2: Convert to fraction form
    2,758.77/4,133.84 = 2,346.21/x
  3. Step 3: Cross multiply
    2,758.77x = 4,133.84 × 2,346.21
  4. Step 4: Simplify right side
    2,758.77x = 9,698,845.02
  5. Step 5: Solve for x
    x = 9,698,845.02/2,758.77
  6. Step 6: Final answer
    x = 3,515.64

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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.