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Finding the Fourth Proportional to 2,827.35, 4,239.65 and 977.81

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Solution

The fourth proportional to 2,827.35, 4,239.65 and 977.81 is: 1,466.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.35 : 4,239.65 = 977.81 : x
  2. Step 2: Convert to fraction form
    2,827.35/4,239.65 = 977.81/x
  3. Step 3: Cross multiply
    2,827.35x = 4,239.65 × 977.81
  4. Step 4: Simplify right side
    2,827.35x = 4,145,546.08
  5. Step 5: Solve for x
    x = 4,145,546.08/2,827.35
  6. Step 6: Final answer
    x = 1,466.23

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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.