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Finding the Fourth Proportional to 2,084.55, 3,132.90 and 2,048.10

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Solution

The fourth proportional to 2,084.55, 3,132.90 and 2,048.10 is: 3,078.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084.55 : 3,132.90 = 2,048.10 : x
  2. Step 2: Convert to fraction form
    2,084.55/3,132.90 = 2,048.10/x
  3. Step 3: Cross multiply
    2,084.55x = 3,132.90 × 2,048.10
  4. Step 4: Simplify right side
    2,084.55x = 6,416,492.49
  5. Step 5: Solve for x
    x = 6,416,492.49/2,084.55
  6. Step 6: Final answer
    x = 3,078.12

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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.