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Finding the Fourth Proportional to 1,517.03, 2,275.16 and 1,077

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Solution

The fourth proportional to 1,517.03, 2,275.16 and 1,077 is: 1,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.03 : 2,275.16 = 1,077 : x
  2. Step 2: Convert to fraction form
    1,517.03/2,275.16 = 1,077/x
  3. Step 3: Cross multiply
    1,517.03x = 2,275.16 × 1,077
  4. Step 4: Simplify right side
    1,517.03x = 2,450,341.94
  5. Step 5: Solve for x
    x = 2,450,341.94/1,517.03
  6. Step 6: Final answer
    x = 1,615.22

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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.