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Finding the Fourth Proportional to 2,051.82, 3,071.04 and 1,503.88

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Solution

The fourth proportional to 2,051.82, 3,071.04 and 1,503.88 is: 2,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.82 : 3,071.04 = 1,503.88 : x
  2. Step 2: Convert to fraction form
    2,051.82/3,071.04 = 1,503.88/x
  3. Step 3: Cross multiply
    2,051.82x = 3,071.04 × 1,503.88
  4. Step 4: Simplify right side
    2,051.82x = 4,618,475.64
  5. Step 5: Solve for x
    x = 4,618,475.64/2,051.82
  6. Step 6: Final answer
    x = 2,250.92

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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.