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Finding the Fourth Proportional to 2,165.16, 2,989.53 and 1,418.84

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Solution

The fourth proportional to 2,165.16, 2,989.53 and 1,418.84 is: 1,959.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.16 : 2,989.53 = 1,418.84 : x
  2. Step 2: Convert to fraction form
    2,165.16/2,989.53 = 1,418.84/x
  3. Step 3: Cross multiply
    2,165.16x = 2,989.53 × 1,418.84
  4. Step 4: Simplify right side
    2,165.16x = 4,241,664.75
  5. Step 5: Solve for x
    x = 4,241,664.75/2,165.16
  6. Step 6: Final answer
    x = 1,959.05

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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.