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Finding the Fourth Proportional to 2,041.78, 3,062.12 and 581

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Solution

The fourth proportional to 2,041.78, 3,062.12 and 581 is: 871.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.78 : 3,062.12 = 581 : x
  2. Step 2: Convert to fraction form
    2,041.78/3,062.12 = 581/x
  3. Step 3: Cross multiply
    2,041.78x = 3,062.12 × 581
  4. Step 4: Simplify right side
    2,041.78x = 1,779,091.72
  5. Step 5: Solve for x
    x = 1,779,091.72/2,041.78
  6. Step 6: Final answer
    x = 871.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.