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Finding the Fourth Proportional to 3,378.75, 4,663.50 and 2,053.33

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Solution

The fourth proportional to 3,378.75, 4,663.50 and 2,053.33 is: 2,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.75 : 4,663.50 = 2,053.33 : x
  2. Step 2: Convert to fraction form
    3,378.75/4,663.50 = 2,053.33/x
  3. Step 3: Cross multiply
    3,378.75x = 4,663.50 × 2,053.33
  4. Step 4: Simplify right side
    3,378.75x = 9,575,717.10
  5. Step 5: Solve for x
    x = 9,575,717.10/3,378.75
  6. Step 6: Final answer
    x = 2,834.10

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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.