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Finding the Fourth Proportional to 1,683.36, 2,321.82 and 1,053.18

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Solution

The fourth proportional to 1,683.36, 2,321.82 and 1,053.18 is: 1,452.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,683.36 : 2,321.82 = 1,053.18 : x
  2. Step 2: Convert to fraction form
    1,683.36/2,321.82 = 1,053.18/x
  3. Step 3: Cross multiply
    1,683.36x = 2,321.82 × 1,053.18
  4. Step 4: Simplify right side
    1,683.36x = 2,445,294.39
  5. Step 5: Solve for x
    x = 2,445,294.39/1,683.36
  6. Step 6: Final answer
    x = 1,452.63

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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.