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Finding the Fourth Proportional to 1,764.18, 2,645.37 and 983.01

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Solution

The fourth proportional to 1,764.18, 2,645.37 and 983.01 is: 1,474.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,764.18 : 2,645.37 = 983.01 : x
  2. Step 2: Convert to fraction form
    1,764.18/2,645.37 = 983.01/x
  3. Step 3: Cross multiply
    1,764.18x = 2,645.37 × 983.01
  4. Step 4: Simplify right side
    1,764.18x = 2,600,425.16
  5. Step 5: Solve for x
    x = 2,600,425.16/1,764.18
  6. Step 6: Final answer
    x = 1,474.01

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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.