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Finding the Fourth Proportional to 1,969.16, 2,713.70 and 1,408.66

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Solution

The fourth proportional to 1,969.16, 2,713.70 and 1,408.66 is: 1,941.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969.16 : 2,713.70 = 1,408.66 : x
  2. Step 2: Convert to fraction form
    1,969.16/2,713.70 = 1,408.66/x
  3. Step 3: Cross multiply
    1,969.16x = 2,713.70 × 1,408.66
  4. Step 4: Simplify right side
    1,969.16x = 3,822,683.10
  5. Step 5: Solve for x
    x = 3,822,683.10/1,969.16
  6. Step 6: Final answer
    x = 1,941.27

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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.