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Finding the Fourth Proportional to 1,451.12, 2,176.64 and 618.22

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Solution

The fourth proportional to 1,451.12, 2,176.64 and 618.22 is: 927.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.12 : 2,176.64 = 618.22 : x
  2. Step 2: Convert to fraction form
    1,451.12/2,176.64 = 618.22/x
  3. Step 3: Cross multiply
    1,451.12x = 2,176.64 × 618.22
  4. Step 4: Simplify right side
    1,451.12x = 1,345,642.38
  5. Step 5: Solve for x
    x = 1,345,642.38/1,451.12
  6. Step 6: Final answer
    x = 927.31

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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.