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Finding the Fourth Proportional to 2,188.48, 3,020.10 and 1,193.76

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Solution

The fourth proportional to 2,188.48, 3,020.10 and 1,193.76 is: 1,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,188.48 : 3,020.10 = 1,193.76 : x
  2. Step 2: Convert to fraction form
    2,188.48/3,020.10 = 1,193.76/x
  3. Step 3: Cross multiply
    2,188.48x = 3,020.10 × 1,193.76
  4. Step 4: Simplify right side
    2,188.48x = 3,605,274.58
  5. Step 5: Solve for x
    x = 3,605,274.58/2,188.48
  6. Step 6: Final answer
    x = 1,647.39

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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.