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Finding the Fourth Proportional to 4,602.26, 6,899.25 and 1,678.52

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Solution

The fourth proportional to 4,602.26, 6,899.25 and 1,678.52 is: 2,516.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.26 : 6,899.25 = 1,678.52 : x
  2. Step 2: Convert to fraction form
    4,602.26/6,899.25 = 1,678.52/x
  3. Step 3: Cross multiply
    4,602.26x = 6,899.25 × 1,678.52
  4. Step 4: Simplify right side
    4,602.26x = 11,580,529.11
  5. Step 5: Solve for x
    x = 11,580,529.11/4,602.26
  6. Step 6: Final answer
    x = 2,516.27

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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.