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Finding the Fourth Proportional to 2,784.59, 4,177.02 and 2,296.75

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Solution

The fourth proportional to 2,784.59, 4,177.02 and 2,296.75 is: 3,445.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.59 : 4,177.02 = 2,296.75 : x
  2. Step 2: Convert to fraction form
    2,784.59/4,177.02 = 2,296.75/x
  3. Step 3: Cross multiply
    2,784.59x = 4,177.02 × 2,296.75
  4. Step 4: Simplify right side
    2,784.59x = 9,593,570.69
  5. Step 5: Solve for x
    x = 9,593,570.69/2,784.59
  6. Step 6: Final answer
    x = 3,445.24

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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.