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Finding the Fourth Proportional to 1,421.84, 2,119.06 and 1,419.68

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Solution

The fourth proportional to 1,421.84, 2,119.06 and 1,419.68 is: 2,115.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.84 : 2,119.06 = 1,419.68 : x
  2. Step 2: Convert to fraction form
    1,421.84/2,119.06 = 1,419.68/x
  3. Step 3: Cross multiply
    1,421.84x = 2,119.06 × 1,419.68
  4. Step 4: Simplify right side
    1,421.84x = 3,008,387.10
  5. Step 5: Solve for x
    x = 3,008,387.10/1,421.84
  6. Step 6: Final answer
    x = 2,115.84

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.