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Finding the Fourth Proportional to 2,702.94, 4,051.98 and 1,881.60

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Solution

The fourth proportional to 2,702.94, 4,051.98 and 1,881.60 is: 2,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.94 : 4,051.98 = 1,881.60 : x
  2. Step 2: Convert to fraction form
    2,702.94/4,051.98 = 1,881.60/x
  3. Step 3: Cross multiply
    2,702.94x = 4,051.98 × 1,881.60
  4. Step 4: Simplify right side
    2,702.94x = 7,624,205.57
  5. Step 5: Solve for x
    x = 7,624,205.57/2,702.94
  6. Step 6: Final answer
    x = 2,820.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.