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Finding the Fourth Proportional to 1,461.75, 2,193.03 and 1,023

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Solution

The fourth proportional to 1,461.75, 2,193.03 and 1,023 is: 1,534.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.75 : 2,193.03 = 1,023 : x
  2. Step 2: Convert to fraction form
    1,461.75/2,193.03 = 1,023/x
  3. Step 3: Cross multiply
    1,461.75x = 2,193.03 × 1,023
  4. Step 4: Simplify right side
    1,461.75x = 2,243,469.69
  5. Step 5: Solve for x
    x = 2,243,469.69/1,461.75
  6. Step 6: Final answer
    x = 1,534.78

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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.