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Finding the Fourth Proportional to 1,556.72, 2,135.60 and 1,530.80

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Solution

The fourth proportional to 1,556.72, 2,135.60 and 1,530.80 is: 2,100.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,556.72 : 2,135.60 = 1,530.80 : x
  2. Step 2: Convert to fraction form
    1,556.72/2,135.60 = 1,530.80/x
  3. Step 3: Cross multiply
    1,556.72x = 2,135.60 × 1,530.80
  4. Step 4: Simplify right side
    1,556.72x = 3,269,176.48
  5. Step 5: Solve for x
    x = 3,269,176.48/1,556.72
  6. Step 6: Final answer
    x = 2,100.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.