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Finding the Fourth Proportional to 2,784.44, 4,177.02 and 934.76

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Solution

The fourth proportional to 2,784.44, 4,177.02 and 934.76 is: 1,402.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.44 : 4,177.02 = 934.76 : x
  2. Step 2: Convert to fraction form
    2,784.44/4,177.02 = 934.76/x
  3. Step 3: Cross multiply
    2,784.44x = 4,177.02 × 934.76
  4. Step 4: Simplify right side
    2,784.44x = 3,904,511.22
  5. Step 5: Solve for x
    x = 3,904,511.22/2,784.44
  6. Step 6: Final answer
    x = 1,402.26

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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.