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Finding the Fourth Proportional to 1,783.50, 2,461.23 and 997.70

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Solution

The fourth proportional to 1,783.50, 2,461.23 and 997.70 is: 1,376.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783.50 : 2,461.23 = 997.70 : x
  2. Step 2: Convert to fraction form
    1,783.50/2,461.23 = 997.70/x
  3. Step 3: Cross multiply
    1,783.50x = 2,461.23 × 997.70
  4. Step 4: Simplify right side
    1,783.50x = 2,455,556.86
  5. Step 5: Solve for x
    x = 2,455,556.86/1,783.50
  6. Step 6: Final answer
    x = 1,376.82

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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.