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Finding the Fourth Proportional to 2,577.52, 3,556.17 and 1,514.95

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Solution

The fourth proportional to 2,577.52, 3,556.17 and 1,514.95 is: 2,090.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.52 : 3,556.17 = 1,514.95 : x
  2. Step 2: Convert to fraction form
    2,577.52/3,556.17 = 1,514.95/x
  3. Step 3: Cross multiply
    2,577.52x = 3,556.17 × 1,514.95
  4. Step 4: Simplify right side
    2,577.52x = 5,387,409.46
  5. Step 5: Solve for x
    x = 5,387,409.46/2,577.52
  6. Step 6: Final answer
    x = 2,090.15

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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.