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Finding the Fourth Proportional to 3,381.40, 4,666.41 and 2,122.50

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Solution

The fourth proportional to 3,381.40, 4,666.41 and 2,122.50 is: 2,929.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.40 : 4,666.41 = 2,122.50 : x
  2. Step 2: Convert to fraction form
    3,381.40/4,666.41 = 2,122.50/x
  3. Step 3: Cross multiply
    3,381.40x = 4,666.41 × 2,122.50
  4. Step 4: Simplify right side
    3,381.40x = 9,904,455.23
  5. Step 5: Solve for x
    x = 9,904,455.23/3,381.40
  6. Step 6: Final answer
    x = 2,929.10

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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.