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Finding the Fourth Proportional to 2,577.01, 3,556.04 and 1,458.05

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Solution

The fourth proportional to 2,577.01, 3,556.04 and 1,458.05 is: 2,011.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,577.01 : 3,556.04 = 1,458.05 : x
  2. Step 2: Convert to fraction form
    2,577.01/3,556.04 = 1,458.05/x
  3. Step 3: Cross multiply
    2,577.01x = 3,556.04 × 1,458.05
  4. Step 4: Simplify right side
    2,577.01x = 5,184,884.12
  5. Step 5: Solve for x
    x = 5,184,884.12/2,577.01
  6. Step 6: Final answer
    x = 2,011.98

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Why These Related Problems?

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