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Finding the Fourth Proportional to 1,668.87, 2,301.86 and 1,109.06

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Solution

The fourth proportional to 1,668.87, 2,301.86 and 1,109.06 is: 1,529.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.87 : 2,301.86 = 1,109.06 : x
  2. Step 2: Convert to fraction form
    1,668.87/2,301.86 = 1,109.06/x
  3. Step 3: Cross multiply
    1,668.87x = 2,301.86 × 1,109.06
  4. Step 4: Simplify right side
    1,668.87x = 2,552,900.85
  5. Step 5: Solve for x
    x = 2,552,900.85/1,668.87
  6. Step 6: Final answer
    x = 1,529.72

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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.