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Finding the Fourth Proportional to 2,971.17, 4,447.42 and 2,041.29

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Solution

The fourth proportional to 2,971.17, 4,447.42 and 2,041.29 is: 3,055.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,971.17 : 4,447.42 = 2,041.29 : x
  2. Step 2: Convert to fraction form
    2,971.17/4,447.42 = 2,041.29/x
  3. Step 3: Cross multiply
    2,971.17x = 4,447.42 × 2,041.29
  4. Step 4: Simplify right side
    2,971.17x = 9,078,463.77
  5. Step 5: Solve for x
    x = 9,078,463.77/2,971.17
  6. Step 6: Final answer
    x = 3,055.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.