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Finding the Fourth Proportional to 2,976.96, 4,465.50 and 1,128.96

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Solution

The fourth proportional to 2,976.96, 4,465.50 and 1,128.96 is: 1,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.96 : 4,465.50 = 1,128.96 : x
  2. Step 2: Convert to fraction form
    2,976.96/4,465.50 = 1,128.96/x
  3. Step 3: Cross multiply
    2,976.96x = 4,465.50 × 1,128.96
  4. Step 4: Simplify right side
    2,976.96x = 5,041,370.88
  5. Step 5: Solve for x
    x = 5,041,370.88/2,976.96
  6. Step 6: Final answer
    x = 1,693.46

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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.