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Finding the Fourth Proportional to 2,047.72, 2,825.76 and 1,261.84

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Solution

The fourth proportional to 2,047.72, 2,825.76 and 1,261.84 is: 1,741.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.72 : 2,825.76 = 1,261.84 : x
  2. Step 2: Convert to fraction form
    2,047.72/2,825.76 = 1,261.84/x
  3. Step 3: Cross multiply
    2,047.72x = 2,825.76 × 1,261.84
  4. Step 4: Simplify right side
    2,047.72x = 3,565,657.00
  5. Step 5: Solve for x
    x = 3,565,657.00/2,047.72
  6. Step 6: Final answer
    x = 1,741.28

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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.