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Finding the Fourth Proportional to 2,193.50, 3,027.04 and 1,262

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Solution

The fourth proportional to 2,193.50, 3,027.04 and 1,262 is: 1,741.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193.50 : 3,027.04 = 1,262 : x
  2. Step 2: Convert to fraction form
    2,193.50/3,027.04 = 1,262/x
  3. Step 3: Cross multiply
    2,193.50x = 3,027.04 × 1,262
  4. Step 4: Simplify right side
    2,193.50x = 3,820,124.48
  5. Step 5: Solve for x
    x = 3,820,124.48/2,193.50
  6. Step 6: Final answer
    x = 1,741.57

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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.