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Finding the Fourth Proportional to 1,785.69, 2,462.10 and 1,536.58

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Solution

The fourth proportional to 1,785.69, 2,462.10 and 1,536.58 is: 2,118.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.69 : 2,462.10 = 1,536.58 : x
  2. Step 2: Convert to fraction form
    1,785.69/2,462.10 = 1,536.58/x
  3. Step 3: Cross multiply
    1,785.69x = 2,462.10 × 1,536.58
  4. Step 4: Simplify right side
    1,785.69x = 3,783,223.87
  5. Step 5: Solve for x
    x = 3,783,223.87/1,785.69
  6. Step 6: Final answer
    x = 2,118.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.