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Finding the Fourth Proportional to 2,305.06, 3,457.59 and 880.27

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Solution

The fourth proportional to 2,305.06, 3,457.59 and 880.27 is: 1,320.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305.06 : 3,457.59 = 880.27 : x
  2. Step 2: Convert to fraction form
    2,305.06/3,457.59 = 880.27/x
  3. Step 3: Cross multiply
    2,305.06x = 3,457.59 × 880.27
  4. Step 4: Simplify right side
    2,305.06x = 3,043,600.80
  5. Step 5: Solve for x
    x = 3,043,600.80/2,305.06
  6. Step 6: Final answer
    x = 1,320.40

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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.