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Finding the Fourth Proportional to 2,051.05, 2,829.65 and 1,263.73

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Solution

The fourth proportional to 2,051.05, 2,829.65 and 1,263.73 is: 1,743.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.05 : 2,829.65 = 1,263.73 : x
  2. Step 2: Convert to fraction form
    2,051.05/2,829.65 = 1,263.73/x
  3. Step 3: Cross multiply
    2,051.05x = 2,829.65 × 1,263.73
  4. Step 4: Simplify right side
    2,051.05x = 3,575,907.28
  5. Step 5: Solve for x
    x = 3,575,907.28/2,051.05
  6. Step 6: Final answer
    x = 1,743.45

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