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Finding the Fourth Proportional to 2,357.68, 3,536.50 and 2,007.76

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Solution

The fourth proportional to 2,357.68, 3,536.50 and 2,007.76 is: 3,011.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,357.68 : 3,536.50 = 2,007.76 : x
  2. Step 2: Convert to fraction form
    2,357.68/3,536.50 = 2,007.76/x
  3. Step 3: Cross multiply
    2,357.68x = 3,536.50 × 2,007.76
  4. Step 4: Simplify right side
    2,357.68x = 7,100,443.24
  5. Step 5: Solve for x
    x = 7,100,443.24/2,357.68
  6. Step 6: Final answer
    x = 3,011.62

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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.