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Finding the Fourth Proportional to 2,529.69, 3,794.50 and 1,068.63

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Solution

The fourth proportional to 2,529.69, 3,794.50 and 1,068.63 is: 1,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529.69 : 3,794.50 = 1,068.63 : x
  2. Step 2: Convert to fraction form
    2,529.69/3,794.50 = 1,068.63/x
  3. Step 3: Cross multiply
    2,529.69x = 3,794.50 × 1,068.63
  4. Step 4: Simplify right side
    2,529.69x = 4,054,916.54
  5. Step 5: Solve for x
    x = 4,054,916.54/2,529.69
  6. Step 6: Final answer
    x = 1,602.93

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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.