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Finding the Fourth Proportional to 2,606.40, 3,902.40 and 2,030.40

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Solution

The fourth proportional to 2,606.40, 3,902.40 and 2,030.40 is: 3,039.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,606.40 : 3,902.40 = 2,030.40 : x
  2. Step 2: Convert to fraction form
    2,606.40/3,902.40 = 2,030.40/x
  3. Step 3: Cross multiply
    2,606.40x = 3,902.40 × 2,030.40
  4. Step 4: Simplify right side
    2,606.40x = 7,923,432.96
  5. Step 5: Solve for x
    x = 7,923,432.96/2,606.40
  6. Step 6: Final answer
    x = 3,039.99

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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.