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Finding the Fourth Proportional to 2,810.16, 4,215.62 and 960.80

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Solution

The fourth proportional to 2,810.16, 4,215.62 and 960.80 is: 1,441.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.16 : 4,215.62 = 960.80 : x
  2. Step 2: Convert to fraction form
    2,810.16/4,215.62 = 960.80/x
  3. Step 3: Cross multiply
    2,810.16x = 4,215.62 × 960.80
  4. Step 4: Simplify right side
    2,810.16x = 4,050,349.02
  5. Step 5: Solve for x
    x = 4,050,349.02/2,810.16
  6. Step 6: Final answer
    x = 1,441.32

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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.