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Finding the Fourth Proportional to 2,577.52, 3,556.96 and 1,529.76

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Solution

The fourth proportional to 2,577.52, 3,556.96 and 1,529.76 is: 2,111.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.52 : 3,556.96 = 1,529.76 : x
  2. Step 2: Convert to fraction form
    2,577.52/3,556.96 = 1,529.76/x
  3. Step 3: Cross multiply
    2,577.52x = 3,556.96 × 1,529.76
  4. Step 4: Simplify right side
    2,577.52x = 5,441,295.13
  5. Step 5: Solve for x
    x = 5,441,295.13/2,577.52
  6. Step 6: Final answer
    x = 2,111.06

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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.