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Finding the Fourth Proportional to 2,541.86, 3,812.06 and 981.76

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Solution

The fourth proportional to 2,541.86, 3,812.06 and 981.76 is: 1,472.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.86 : 3,812.06 = 981.76 : x
  2. Step 2: Convert to fraction form
    2,541.86/3,812.06 = 981.76/x
  3. Step 3: Cross multiply
    2,541.86x = 3,812.06 × 981.76
  4. Step 4: Simplify right side
    2,541.86x = 3,742,528.03
  5. Step 5: Solve for x
    x = 3,742,528.03/2,541.86
  6. Step 6: Final answer
    x = 1,472.36

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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.