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Finding the Fourth Proportional to 2,901.07, 4,003.41 and 1,642.10

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Solution

The fourth proportional to 2,901.07, 4,003.41 and 1,642.10 is: 2,266.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.07 : 4,003.41 = 1,642.10 : x
  2. Step 2: Convert to fraction form
    2,901.07/4,003.41 = 1,642.10/x
  3. Step 3: Cross multiply
    2,901.07x = 4,003.41 × 1,642.10
  4. Step 4: Simplify right side
    2,901.07x = 6,573,999.56
  5. Step 5: Solve for x
    x = 6,573,999.56/2,901.07
  6. Step 6: Final answer
    x = 2,266.06

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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.