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Finding the Fourth Proportional to 2,381.60, 3,556.20 and 2,101.62

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Solution

The fourth proportional to 2,381.60, 3,556.20 and 2,101.62 is: 3,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.60 : 3,556.20 = 2,101.62 : x
  2. Step 2: Convert to fraction form
    2,381.60/3,556.20 = 2,101.62/x
  3. Step 3: Cross multiply
    2,381.60x = 3,556.20 × 2,101.62
  4. Step 4: Simplify right side
    2,381.60x = 7,473,781.04
  5. Step 5: Solve for x
    x = 7,473,781.04/2,381.60
  6. Step 6: Final answer
    x = 3,138.13

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.