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Finding the Fourth Proportional to 2,114.74, 3,166.64 and 1,458.64

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Solution

The fourth proportional to 2,114.74, 3,166.64 and 1,458.64 is: 2,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.74 : 3,166.64 = 1,458.64 : x
  2. Step 2: Convert to fraction form
    2,114.74/3,166.64 = 1,458.64/x
  3. Step 3: Cross multiply
    2,114.74x = 3,166.64 × 1,458.64
  4. Step 4: Simplify right side
    2,114.74x = 4,618,998.11
  5. Step 5: Solve for x
    x = 4,618,998.11/2,114.74
  6. Step 6: Final answer
    x = 2,184.19

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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.