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Finding the Fourth Proportional to 2,784.60, 4,176.60 and 1,141.32

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Solution

The fourth proportional to 2,784.60, 4,176.60 and 1,141.32 is: 1,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.60 : 4,176.60 = 1,141.32 : x
  2. Step 2: Convert to fraction form
    2,784.60/4,176.60 = 1,141.32/x
  3. Step 3: Cross multiply
    2,784.60x = 4,176.60 × 1,141.32
  4. Step 4: Simplify right side
    2,784.60x = 4,766,837.11
  5. Step 5: Solve for x
    x = 4,766,837.11/2,784.60
  6. Step 6: Final answer
    x = 1,711.86

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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.