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Finding the Fourth Proportional to 2,165.90, 2,986.94 and 1,419.58

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Solution

The fourth proportional to 2,165.90, 2,986.94 and 1,419.58 is: 1,957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.90 : 2,986.94 = 1,419.58 : x
  2. Step 2: Convert to fraction form
    2,165.90/2,986.94 = 1,419.58/x
  3. Step 3: Cross multiply
    2,165.90x = 2,986.94 × 1,419.58
  4. Step 4: Simplify right side
    2,165.90x = 4,240,207.57
  5. Step 5: Solve for x
    x = 4,240,207.57/2,165.90
  6. Step 6: Final answer
    x = 1,957.72

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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.