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Finding the Fourth Proportional to 2,784.73, 4,177.63 and 836.77

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Solution

The fourth proportional to 2,784.73, 4,177.63 and 836.77 is: 1,255.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.73 : 4,177.63 = 836.77 : x
  2. Step 2: Convert to fraction form
    2,784.73/4,177.63 = 836.77/x
  3. Step 3: Cross multiply
    2,784.73x = 4,177.63 × 836.77
  4. Step 4: Simplify right side
    2,784.73x = 3,495,715.46
  5. Step 5: Solve for x
    x = 3,495,715.46/2,784.73
  6. Step 6: Final answer
    x = 1,255.32

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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.