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Finding the Fourth Proportional to 2,357.76, 3,536.64 and 626.28

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Solution

The fourth proportional to 2,357.76, 3,536.64 and 626.28 is: 939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.76 : 3,536.64 = 626.28 : x
  2. Step 2: Convert to fraction form
    2,357.76/3,536.64 = 626.28/x
  3. Step 3: Cross multiply
    2,357.76x = 3,536.64 × 626.28
  4. Step 4: Simplify right side
    2,357.76x = 2,214,926.90
  5. Step 5: Solve for x
    x = 2,214,926.90/2,357.76
  6. Step 6: Final answer
    x = 939.42

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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.