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Finding the Fourth Proportional to 2,314.19, 3,470.04 and 1,014.14

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Solution

The fourth proportional to 2,314.19, 3,470.04 and 1,014.14 is: 1,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.19 : 3,470.04 = 1,014.14 : x
  2. Step 2: Convert to fraction form
    2,314.19/3,470.04 = 1,014.14/x
  3. Step 3: Cross multiply
    2,314.19x = 3,470.04 × 1,014.14
  4. Step 4: Simplify right side
    2,314.19x = 3,519,106.37
  5. Step 5: Solve for x
    x = 3,519,106.37/2,314.19
  6. Step 6: Final answer
    x = 1,520.66

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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.