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Finding the Fourth Proportional to 2,034.54, 3,051.45 and 573.35

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Solution

The fourth proportional to 2,034.54, 3,051.45 and 573.35 is: 859.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,034.54 : 3,051.45 = 573.35 : x
  2. Step 2: Convert to fraction form
    2,034.54/3,051.45 = 573.35/x
  3. Step 3: Cross multiply
    2,034.54x = 3,051.45 × 573.35
  4. Step 4: Simplify right side
    2,034.54x = 1,749,548.86
  5. Step 5: Solve for x
    x = 1,749,548.86/2,034.54
  6. Step 6: Final answer
    x = 859.92

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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.