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Finding the Fourth Proportional to 1,411.14, 2,112.05 and 1,310.30

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Solution

The fourth proportional to 1,411.14, 2,112.05 and 1,310.30 is: 1,961.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.14 : 2,112.05 = 1,310.30 : x
  2. Step 2: Convert to fraction form
    1,411.14/2,112.05 = 1,310.30/x
  3. Step 3: Cross multiply
    1,411.14x = 2,112.05 × 1,310.30
  4. Step 4: Simplify right side
    1,411.14x = 2,767,402.00
  5. Step 5: Solve for x
    x = 2,767,402.00/1,411.14
  6. Step 6: Final answer
    x = 1,961.11

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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.