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Finding the Fourth Proportional to 2,827.56, 4,242.38 and 978.87

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Solution

The fourth proportional to 2,827.56, 4,242.38 and 978.87 is: 1,468.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.56 : 4,242.38 = 978.87 : x
  2. Step 2: Convert to fraction form
    2,827.56/4,242.38 = 978.87/x
  3. Step 3: Cross multiply
    2,827.56x = 4,242.38 × 978.87
  4. Step 4: Simplify right side
    2,827.56x = 4,152,733.62
  5. Step 5: Solve for x
    x = 4,152,733.62/2,827.56
  6. Step 6: Final answer
    x = 1,468.66

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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.