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Finding the Fourth Proportional to 1,556.09, 2,150.50 and 1,275.90

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Solution

The fourth proportional to 1,556.09, 2,150.50 and 1,275.90 is: 1,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.09 : 2,150.50 = 1,275.90 : x
  2. Step 2: Convert to fraction form
    1,556.09/2,150.50 = 1,275.90/x
  3. Step 3: Cross multiply
    1,556.09x = 2,150.50 × 1,275.90
  4. Step 4: Simplify right side
    1,556.09x = 2,743,822.95
  5. Step 5: Solve for x
    x = 2,743,822.95/1,556.09
  6. Step 6: Final answer
    x = 1,763.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.