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Finding the Fourth Proportional to 2,357.76, 3,536.18 and 2,240.68

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Solution

The fourth proportional to 2,357.76, 3,536.18 and 2,240.68 is: 3,360.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.76 : 3,536.18 = 2,240.68 : x
  2. Step 2: Convert to fraction form
    2,357.76/3,536.18 = 2,240.68/x
  3. Step 3: Cross multiply
    2,357.76x = 3,536.18 × 2,240.68
  4. Step 4: Simplify right side
    2,357.76x = 7,923,457.82
  5. Step 5: Solve for x
    x = 7,923,457.82/2,357.76
  6. Step 6: Final answer
    x = 3,360.59

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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.