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Finding the Fourth Proportional to 4,002.40, 6,002.07 and 1,810.90

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Solution

The fourth proportional to 4,002.40, 6,002.07 and 1,810.90 is: 2,715.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.40 : 6,002.07 = 1,810.90 : x
  2. Step 2: Convert to fraction form
    4,002.40/6,002.07 = 1,810.90/x
  3. Step 3: Cross multiply
    4,002.40x = 6,002.07 × 1,810.90
  4. Step 4: Simplify right side
    4,002.40x = 10,869,148.56
  5. Step 5: Solve for x
    x = 10,869,148.56/4,002.40
  6. Step 6: Final answer
    x = 2,715.66

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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.