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Finding the Fourth Proportional to 2,542.06, 3,810.48 and 981.64

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Solution

The fourth proportional to 2,542.06, 3,810.48 and 981.64 is: 1,471.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542.06 : 3,810.48 = 981.64 : x
  2. Step 2: Convert to fraction form
    2,542.06/3,810.48 = 981.64/x
  3. Step 3: Cross multiply
    2,542.06x = 3,810.48 × 981.64
  4. Step 4: Simplify right side
    2,542.06x = 3,740,519.59
  5. Step 5: Solve for x
    x = 3,740,519.59/2,542.06
  6. Step 6: Final answer
    x = 1,471.45

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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.