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Finding the Fourth Proportional to 2,047.76, 2,825.52 and 1,301.84

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Solution

The fourth proportional to 2,047.76, 2,825.52 and 1,301.84 is: 1,796.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.76 : 2,825.52 = 1,301.84 : x
  2. Step 2: Convert to fraction form
    2,047.76/2,825.52 = 1,301.84/x
  3. Step 3: Cross multiply
    2,047.76x = 2,825.52 × 1,301.84
  4. Step 4: Simplify right side
    2,047.76x = 3,678,374.96
  5. Step 5: Solve for x
    x = 3,678,374.96/2,047.76
  6. Step 6: Final answer
    x = 1,796.29

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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.