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Finding the Fourth Proportional to 2,541.82, 3,811.95 and 981.70

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Solution

The fourth proportional to 2,541.82, 3,811.95 and 981.70 is: 1,472.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,541.82 : 3,811.95 = 981.70 : x
  2. Step 2: Convert to fraction form
    2,541.82/3,811.95 = 981.70/x
  3. Step 3: Cross multiply
    2,541.82x = 3,811.95 × 981.70
  4. Step 4: Simplify right side
    2,541.82x = 3,742,191.32
  5. Step 5: Solve for x
    x = 3,742,191.32/2,541.82
  6. Step 6: Final answer
    x = 1,472.25

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Why These Related Problems?

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