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Finding the Fourth Proportional to 2,114.82, 2,919.12 and 1,452.60

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Solution

The fourth proportional to 2,114.82, 2,919.12 and 1,452.60 is: 2,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.82 : 2,919.12 = 1,452.60 : x
  2. Step 2: Convert to fraction form
    2,114.82/2,919.12 = 1,452.60/x
  3. Step 3: Cross multiply
    2,114.82x = 2,919.12 × 1,452.60
  4. Step 4: Simplify right side
    2,114.82x = 4,240,313.71
  5. Step 5: Solve for x
    x = 4,240,313.71/2,114.82
  6. Step 6: Final answer
    x = 2,005.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.