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Finding the Fourth Proportional to 2,038.55, 3,063.90 and 2,002.10

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Solution

The fourth proportional to 2,038.55, 3,063.90 and 2,002.10 is: 3,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,038.55 : 3,063.90 = 2,002.10 : x
  2. Step 2: Convert to fraction form
    2,038.55/3,063.90 = 2,002.10/x
  3. Step 3: Cross multiply
    2,038.55x = 3,063.90 × 2,002.10
  4. Step 4: Simplify right side
    2,038.55x = 6,134,234.19
  5. Step 5: Solve for x
    x = 6,134,234.19/2,038.55
  6. Step 6: Final answer
    x = 3,009.12

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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.