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Finding the Fourth Proportional to 2,910.94, 4,017 and 1,652.11

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Solution

The fourth proportional to 2,910.94, 4,017 and 1,652.11 is: 2,279.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,910.94 : 4,017 = 1,652.11 : x
  2. Step 2: Convert to fraction form
    2,910.94/4,017 = 1,652.11/x
  3. Step 3: Cross multiply
    2,910.94x = 4,017 × 1,652.11
  4. Step 4: Simplify right side
    2,910.94x = 6,636,525.87
  5. Step 5: Solve for x
    x = 6,636,525.87/2,910.94
  6. Step 6: Final answer
    x = 2,279.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.