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Finding the Fourth Proportional to 1,771.01, 2,444.02 and 974.36

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Solution

The fourth proportional to 1,771.01, 2,444.02 and 974.36 is: 1,344.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,771.01 : 2,444.02 = 974.36 : x
  2. Step 2: Convert to fraction form
    1,771.01/2,444.02 = 974.36/x
  3. Step 3: Cross multiply
    1,771.01x = 2,444.02 × 974.36
  4. Step 4: Simplify right side
    1,771.01x = 2,381,359.00
  5. Step 5: Solve for x
    x = 2,381,359.00/1,771.01
  6. Step 6: Final answer
    x = 1,344.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.