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Finding the Fourth Proportional to 2,065.10, 3,098.01 and 678.05

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Solution

The fourth proportional to 2,065.10, 3,098.01 and 678.05 is: 1,017.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.10 : 3,098.01 = 678.05 : x
  2. Step 2: Convert to fraction form
    2,065.10/3,098.01 = 678.05/x
  3. Step 3: Cross multiply
    2,065.10x = 3,098.01 × 678.05
  4. Step 4: Simplify right side
    2,065.10x = 2,100,605.68
  5. Step 5: Solve for x
    x = 2,100,605.68/2,065.10
  6. Step 6: Final answer
    x = 1,017.19

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Why These Related Problems?

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