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Finding the Fourth Proportional to 2,154.62, 2,971.55 and 1,820.17

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Solution

The fourth proportional to 2,154.62, 2,971.55 and 1,820.17 is: 2,510.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.62 : 2,971.55 = 1,820.17 : x
  2. Step 2: Convert to fraction form
    2,154.62/2,971.55 = 1,820.17/x
  3. Step 3: Cross multiply
    2,154.62x = 2,971.55 × 1,820.17
  4. Step 4: Simplify right side
    2,154.62x = 5,408,711.31
  5. Step 5: Solve for x
    x = 5,408,711.31/2,154.62
  6. Step 6: Final answer
    x = 2,510.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.