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Finding the Fourth Proportional to 2,245.77, 3,368.68 and 784.96

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Solution

The fourth proportional to 2,245.77, 3,368.68 and 784.96 is: 1,177.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.77 : 3,368.68 = 784.96 : x
  2. Step 2: Convert to fraction form
    2,245.77/3,368.68 = 784.96/x
  3. Step 3: Cross multiply
    2,245.77x = 3,368.68 × 784.96
  4. Step 4: Simplify right side
    2,245.77x = 2,644,268.67
  5. Step 5: Solve for x
    x = 2,644,268.67/2,245.77
  6. Step 6: Final answer
    x = 1,177.44

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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.