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Finding the Fourth Proportional to 2,693.80, 4,040.70 and 2,045.80

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Solution

The fourth proportional to 2,693.80, 4,040.70 and 2,045.80 is: 3,068.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.80 : 4,040.70 = 2,045.80 : x
  2. Step 2: Convert to fraction form
    2,693.80/4,040.70 = 2,045.80/x
  3. Step 3: Cross multiply
    2,693.80x = 4,040.70 × 2,045.80
  4. Step 4: Simplify right side
    2,693.80x = 8,266,464.06
  5. Step 5: Solve for x
    x = 8,266,464.06/2,693.80
  6. Step 6: Final answer
    x = 3,068.70

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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.