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Finding the Fourth Proportional to 2,594.64, 3,891.71 and 745.72

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Solution

The fourth proportional to 2,594.64, 3,891.71 and 745.72 is: 1,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.64 : 3,891.71 = 745.72 : x
  2. Step 2: Convert to fraction form
    2,594.64/3,891.71 = 745.72/x
  3. Step 3: Cross multiply
    2,594.64x = 3,891.71 × 745.72
  4. Step 4: Simplify right side
    2,594.64x = 2,902,118.12
  5. Step 5: Solve for x
    x = 2,902,118.12/2,594.64
  6. Step 6: Final answer
    x = 1,118.50

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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.