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Finding the Fourth Proportional to 2,357.31, 3,536.39 and 776.12

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Solution

The fourth proportional to 2,357.31, 3,536.39 and 776.12 is: 1,164.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.31 : 3,536.39 = 776.12 : x
  2. Step 2: Convert to fraction form
    2,357.31/3,536.39 = 776.12/x
  3. Step 3: Cross multiply
    2,357.31x = 3,536.39 × 776.12
  4. Step 4: Simplify right side
    2,357.31x = 2,744,652.24
  5. Step 5: Solve for x
    x = 2,744,652.24/2,357.31
  6. Step 6: Final answer
    x = 1,164.32

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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.