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Finding the Fourth Proportional to 1,419.84, 2,116.08 and 1,391.04

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Solution

The fourth proportional to 1,419.84, 2,116.08 and 1,391.04 is: 2,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.84 : 2,116.08 = 1,391.04 : x
  2. Step 2: Convert to fraction form
    1,419.84/2,116.08 = 1,391.04/x
  3. Step 3: Cross multiply
    1,419.84x = 2,116.08 × 1,391.04
  4. Step 4: Simplify right side
    1,419.84x = 2,943,551.92
  5. Step 5: Solve for x
    x = 2,943,551.92/1,419.84
  6. Step 6: Final answer
    x = 2,073.16

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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.