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Finding the Fourth Proportional to 2,577.63, 3,556.71 and 1,458.21

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Solution

The fourth proportional to 2,577.63, 3,556.71 and 1,458.21 is: 2,012.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.63 : 3,556.71 = 1,458.21 : x
  2. Step 2: Convert to fraction form
    2,577.63/3,556.71 = 1,458.21/x
  3. Step 3: Cross multiply
    2,577.63x = 3,556.71 × 1,458.21
  4. Step 4: Simplify right side
    2,577.63x = 5,186,430.09
  5. Step 5: Solve for x
    x = 5,186,430.09/2,577.63
  6. Step 6: Final answer
    x = 2,012.09

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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.