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Finding the Fourth Proportional to 2,138.85, 3,210.68 and 1,654.05

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Solution

The fourth proportional to 2,138.85, 3,210.68 and 1,654.05 is: 2,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.85 : 3,210.68 = 1,654.05 : x
  2. Step 2: Convert to fraction form
    2,138.85/3,210.68 = 1,654.05/x
  3. Step 3: Cross multiply
    2,138.85x = 3,210.68 × 1,654.05
  4. Step 4: Simplify right side
    2,138.85x = 5,310,616.98
  5. Step 5: Solve for x
    x = 5,310,616.98/2,138.85
  6. Step 6: Final answer
    x = 2,482.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.