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Finding the Fourth Proportional to 2,901.35, 4,004.42 and 1,642.38

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Solution

The fourth proportional to 2,901.35, 4,004.42 and 1,642.38 is: 2,266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.35 : 4,004.42 = 1,642.38 : x
  2. Step 2: Convert to fraction form
    2,901.35/4,004.42 = 1,642.38/x
  3. Step 3: Cross multiply
    2,901.35x = 4,004.42 × 1,642.38
  4. Step 4: Simplify right side
    2,901.35x = 6,576,771.11
  5. Step 5: Solve for x
    x = 6,576,771.11/2,901.35
  6. Step 6: Final answer
    x = 2,266.80

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Why These Related Problems?

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