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Finding the Fourth Proportional to 2,166.51, 2,990.21 and 1,419.15

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Solution

The fourth proportional to 2,166.51, 2,990.21 and 1,419.15 is: 1,958.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.51 : 2,990.21 = 1,419.15 : x
  2. Step 2: Convert to fraction form
    2,166.51/2,990.21 = 1,419.15/x
  3. Step 3: Cross multiply
    2,166.51x = 2,990.21 × 1,419.15
  4. Step 4: Simplify right side
    2,166.51x = 4,243,549.43
  5. Step 5: Solve for x
    x = 4,243,549.43/2,166.51
  6. Step 6: Final answer
    x = 1,958.70

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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.