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Finding the Fourth Proportional to 2,280.84, 3,419.10 and 2,071.32

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Solution

The fourth proportional to 2,280.84, 3,419.10 and 2,071.32 is: 3,105.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,280.84 : 3,419.10 = 2,071.32 : x
  2. Step 2: Convert to fraction form
    2,280.84/3,419.10 = 2,071.32/x
  3. Step 3: Cross multiply
    2,280.84x = 3,419.10 × 2,071.32
  4. Step 4: Simplify right side
    2,280.84x = 7,082,050.21
  5. Step 5: Solve for x
    x = 7,082,050.21/2,280.84
  6. Step 6: Final answer
    x = 3,105.02

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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.