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Finding the Fourth Proportional to 1,784.70, 2,462.83 and 988.06

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Solution

The fourth proportional to 1,784.70, 2,462.83 and 988.06 is: 1,363.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.70 : 2,462.83 = 988.06 : x
  2. Step 2: Convert to fraction form
    1,784.70/2,462.83 = 988.06/x
  3. Step 3: Cross multiply
    1,784.70x = 2,462.83 × 988.06
  4. Step 4: Simplify right side
    1,784.70x = 2,433,425.36
  5. Step 5: Solve for x
    x = 2,433,425.36/1,784.70
  6. Step 6: Final answer
    x = 1,363.49

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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.