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Finding the Fourth Proportional to 1,687.72, 2,328.19 and 1,128.01

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Solution

The fourth proportional to 1,687.72, 2,328.19 and 1,128.01 is: 1,556.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.72 : 2,328.19 = 1,128.01 : x
  2. Step 2: Convert to fraction form
    1,687.72/2,328.19 = 1,128.01/x
  3. Step 3: Cross multiply
    1,687.72x = 2,328.19 × 1,128.01
  4. Step 4: Simplify right side
    1,687.72x = 2,626,221.60
  5. Step 5: Solve for x
    x = 2,626,221.60/1,687.72
  6. Step 6: Final answer
    x = 1,556.08

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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.