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Finding the Fourth Proportional to 2,166.89, 2,988.09 and 1,420.07

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Solution

The fourth proportional to 2,166.89, 2,988.09 and 1,420.07 is: 1,958.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,166.89 : 2,988.09 = 1,420.07 : x
  2. Step 2: Convert to fraction form
    2,166.89/2,988.09 = 1,420.07/x
  3. Step 3: Cross multiply
    2,166.89x = 2,988.09 × 1,420.07
  4. Step 4: Simplify right side
    2,166.89x = 4,243,282.03
  5. Step 5: Solve for x
    x = 4,243,282.03/2,166.89
  6. Step 6: Final answer
    x = 1,958.24

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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.