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Finding the Fourth Proportional to 2,041.86, 3,063.20 and 581.07

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Solution

The fourth proportional to 2,041.86, 3,063.20 and 581.07 is: 871.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,041.86 : 3,063.20 = 581.07 : x
  2. Step 2: Convert to fraction form
    2,041.86/3,063.20 = 581.07/x
  3. Step 3: Cross multiply
    2,041.86x = 3,063.20 × 581.07
  4. Step 4: Simplify right side
    2,041.86x = 1,779,930.72
  5. Step 5: Solve for x
    x = 1,779,930.72/2,041.86
  6. Step 6: Final answer
    x = 871.72

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