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Finding the Fourth Proportional to 2,357.64, 3,536.70 and 626.44

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Solution

The fourth proportional to 2,357.64, 3,536.70 and 626.44 is: 939.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.64 : 3,536.70 = 626.44 : x
  2. Step 2: Convert to fraction form
    2,357.64/3,536.70 = 626.44/x
  3. Step 3: Cross multiply
    2,357.64x = 3,536.70 × 626.44
  4. Step 4: Simplify right side
    2,357.64x = 2,215,530.35
  5. Step 5: Solve for x
    x = 2,215,530.35/2,357.64
  6. Step 6: Final answer
    x = 939.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.