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Finding the Fourth Proportional to 2,023.52, 3,053.90 and 1,971.68

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Solution

The fourth proportional to 2,023.52, 3,053.90 and 1,971.68 is: 2,975.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023.52 : 3,053.90 = 1,971.68 : x
  2. Step 2: Convert to fraction form
    2,023.52/3,053.90 = 1,971.68/x
  3. Step 3: Cross multiply
    2,023.52x = 3,053.90 × 1,971.68
  4. Step 4: Simplify right side
    2,023.52x = 6,021,313.55
  5. Step 5: Solve for x
    x = 6,021,313.55/2,023.52
  6. Step 6: Final answer
    x = 2,975.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.