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Finding the Fourth Proportional to 2,827.85, 4,239.30 and 977.69

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Solution

The fourth proportional to 2,827.85, 4,239.30 and 977.69 is: 1,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.85 : 4,239.30 = 977.69 : x
  2. Step 2: Convert to fraction form
    2,827.85/4,239.30 = 977.69/x
  3. Step 3: Cross multiply
    2,827.85x = 4,239.30 × 977.69
  4. Step 4: Simplify right side
    2,827.85x = 4,144,721.22
  5. Step 5: Solve for x
    x = 4,144,721.22/2,827.85
  6. Step 6: Final answer
    x = 1,465.68

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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.