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Finding the Fourth Proportional to 1,707.93, 2,352.33 and 1,605.87

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Solution

The fourth proportional to 1,707.93, 2,352.33 and 1,605.87 is: 2,211.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.93 : 2,352.33 = 1,605.87 : x
  2. Step 2: Convert to fraction form
    1,707.93/2,352.33 = 1,605.87/x
  3. Step 3: Cross multiply
    1,707.93x = 2,352.33 × 1,605.87
  4. Step 4: Simplify right side
    1,707.93x = 3,777,536.18
  5. Step 5: Solve for x
    x = 3,777,536.18/1,707.93
  6. Step 6: Final answer
    x = 2,211.76

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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.