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Finding the Fourth Proportional to 2,462.14, 3,693.44 and 981.00

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Solution

The fourth proportional to 2,462.14, 3,693.44 and 981.00 is: 1,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,462.14 : 3,693.44 = 981.00 : x
  2. Step 2: Convert to fraction form
    2,462.14/3,693.44 = 981.00/x
  3. Step 3: Cross multiply
    2,462.14x = 3,693.44 × 981.00
  4. Step 4: Simplify right side
    2,462.14x = 3,623,279.23
  5. Step 5: Solve for x
    x = 3,623,279.23/2,462.14
  6. Step 6: Final answer
    x = 1,471.60

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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.