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Finding the Fourth Proportional to 2,693.70, 4,040.55 and 2,045.70

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Solution

The fourth proportional to 2,693.70, 4,040.55 and 2,045.70 is: 3,068.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,693.70 : 4,040.55 = 2,045.70 : x
  2. Step 2: Convert to fraction form
    2,693.70/4,040.55 = 2,045.70/x
  3. Step 3: Cross multiply
    2,693.70x = 4,040.55 × 2,045.70
  4. Step 4: Simplify right side
    2,693.70x = 8,265,753.14
  5. Step 5: Solve for x
    x = 8,265,753.14/2,693.70
  6. Step 6: Final answer
    x = 3,068.55

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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.