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Finding the Fourth Proportional to 2,444.00, 3,666.00 and 982.81

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Solution

The fourth proportional to 2,444.00, 3,666.00 and 982.81 is: 1,474.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,444.00 : 3,666.00 = 982.81 : x
  2. Step 2: Convert to fraction form
    2,444.00/3,666.00 = 982.81/x
  3. Step 3: Cross multiply
    2,444.00x = 3,666.00 × 982.81
  4. Step 4: Simplify right side
    2,444.00x = 3,602,984.20
  5. Step 5: Solve for x
    x = 3,602,984.20/2,444.00
  6. Step 6: Final answer
    x = 1,474.22

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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.