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Finding the Fourth Proportional to 2,357.56, 3,536.16 and 626.14

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Solution

The fourth proportional to 2,357.56, 3,536.16 and 626.14 is: 939.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.56 : 3,536.16 = 626.14 : x
  2. Step 2: Convert to fraction form
    2,357.56/3,536.16 = 626.14/x
  3. Step 3: Cross multiply
    2,357.56x = 3,536.16 × 626.14
  4. Step 4: Simplify right side
    2,357.56x = 2,214,131.22
  5. Step 5: Solve for x
    x = 2,214,131.22/2,357.56
  6. Step 6: Final answer
    x = 939.16

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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.