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Finding the Fourth Proportional to 2,047.59, 2,824.83 and 1,262.07

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Solution

The fourth proportional to 2,047.59, 2,824.83 and 1,262.07 is: 1,741.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.59 : 2,824.83 = 1,262.07 : x
  2. Step 2: Convert to fraction form
    2,047.59/2,824.83 = 1,262.07/x
  3. Step 3: Cross multiply
    2,047.59x = 2,824.83 × 1,262.07
  4. Step 4: Simplify right side
    2,047.59x = 3,565,133.20
  5. Step 5: Solve for x
    x = 3,565,133.20/2,047.59
  6. Step 6: Final answer
    x = 1,741.14

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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.