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Finding the Fourth Proportional to 2,051.07, 2,829.67 and 1,263.75

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Solution

The fourth proportional to 2,051.07, 2,829.67 and 1,263.75 is: 1,743.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051.07 : 2,829.67 = 1,263.75 : x
  2. Step 2: Convert to fraction form
    2,051.07/2,829.67 = 1,263.75/x
  3. Step 3: Cross multiply
    2,051.07x = 2,829.67 × 1,263.75
  4. Step 4: Simplify right side
    2,051.07x = 3,575,995.46
  5. Step 5: Solve for x
    x = 3,575,995.46/2,051.07
  6. Step 6: Final answer
    x = 1,743.48

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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.