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Finding the Fourth Proportional to 2,733.57, 4,099.05 and 785.25

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Solution

The fourth proportional to 2,733.57, 4,099.05 and 785.25 is: 1,177.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,733.57 : 4,099.05 = 785.25 : x
  2. Step 2: Convert to fraction form
    2,733.57/4,099.05 = 785.25/x
  3. Step 3: Cross multiply
    2,733.57x = 4,099.05 × 785.25
  4. Step 4: Simplify right side
    2,733.57x = 3,218,779.01
  5. Step 5: Solve for x
    x = 3,218,779.01/2,733.57
  6. Step 6: Final answer
    x = 1,177.50

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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.