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Finding the Fourth Proportional to 1,794.72, 2,675.12 and 1,707

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Solution

The fourth proportional to 1,794.72, 2,675.12 and 1,707 is: 2,544.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,794.72 : 2,675.12 = 1,707 : x
  2. Step 2: Convert to fraction form
    1,794.72/2,675.12 = 1,707/x
  3. Step 3: Cross multiply
    1,794.72x = 2,675.12 × 1,707
  4. Step 4: Simplify right side
    1,794.72x = 4,566,429.84
  5. Step 5: Solve for x
    x = 4,566,429.84/1,794.72
  6. Step 6: Final answer
    x = 2,544.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.