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Finding the Fourth Proportional to 2,047.16, 3,068.58 and 1,019

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Solution

The fourth proportional to 2,047.16, 3,068.58 and 1,019 is: 1,527.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.16 : 3,068.58 = 1,019 : x
  2. Step 2: Convert to fraction form
    2,047.16/3,068.58 = 1,019/x
  3. Step 3: Cross multiply
    2,047.16x = 3,068.58 × 1,019
  4. Step 4: Simplify right side
    2,047.16x = 3,126,883.02
  5. Step 5: Solve for x
    x = 3,126,883.02/2,047.16
  6. Step 6: Final answer
    x = 1,527.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.