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Finding the Fourth Proportional to 2,901.47, 4,004.99 and 1,841

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Solution

The fourth proportional to 2,901.47, 4,004.99 and 1,841 is: 2,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,901.47 : 4,004.99 = 1,841 : x
  2. Step 2: Convert to fraction form
    2,901.47/4,004.99 = 1,841/x
  3. Step 3: Cross multiply
    2,901.47x = 4,004.99 × 1,841
  4. Step 4: Simplify right side
    2,901.47x = 7,373,186.59
  5. Step 5: Solve for x
    x = 7,373,186.59/2,901.47
  6. Step 6: Final answer
    x = 2,541.19

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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.