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Finding the Fourth Proportional to 2,210.76, 3,314.79 and 1,114.56

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Solution

The fourth proportional to 2,210.76, 3,314.79 and 1,114.56 is: 1,671.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.76 : 3,314.79 = 1,114.56 : x
  2. Step 2: Convert to fraction form
    2,210.76/3,314.79 = 1,114.56/x
  3. Step 3: Cross multiply
    2,210.76x = 3,314.79 × 1,114.56
  4. Step 4: Simplify right side
    2,210.76x = 3,694,532.34
  5. Step 5: Solve for x
    x = 3,694,532.34/2,210.76
  6. Step 6: Final answer
    x = 1,671.16

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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.