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Finding the Fourth Proportional to 2,139.93, 3,209.54 and 678.74

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Solution

The fourth proportional to 2,139.93, 3,209.54 and 678.74 is: 1,017.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,139.93 : 3,209.54 = 678.74 : x
  2. Step 2: Convert to fraction form
    2,139.93/3,209.54 = 678.74/x
  3. Step 3: Cross multiply
    2,139.93x = 3,209.54 × 678.74
  4. Step 4: Simplify right side
    2,139.93x = 2,178,423.74
  5. Step 5: Solve for x
    x = 2,178,423.74/2,139.93
  6. Step 6: Final answer
    x = 1,017.99

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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.