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Finding the Fourth Proportional to 2,114.75, 3,166.63 and 1,458.65

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Solution

The fourth proportional to 2,114.75, 3,166.63 and 1,458.65 is: 2,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.75 : 3,166.63 = 1,458.65 : x
  2. Step 2: Convert to fraction form
    2,114.75/3,166.63 = 1,458.65/x
  3. Step 3: Cross multiply
    2,114.75x = 3,166.63 × 1,458.65
  4. Step 4: Simplify right side
    2,114.75x = 4,619,009.12
  5. Step 5: Solve for x
    x = 4,619,009.12/2,114.75
  6. Step 6: Final answer
    x = 2,184.18

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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.