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Finding the Fourth Proportional to 2,063.86, 2,848.69 and 1,329.14

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Solution

The fourth proportional to 2,063.86, 2,848.69 and 1,329.14 is: 1,834.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,063.86 : 2,848.69 = 1,329.14 : x
  2. Step 2: Convert to fraction form
    2,063.86/2,848.69 = 1,329.14/x
  3. Step 3: Cross multiply
    2,063.86x = 2,848.69 × 1,329.14
  4. Step 4: Simplify right side
    2,063.86x = 3,786,307.83
  5. Step 5: Solve for x
    x = 3,786,307.83/2,063.86
  6. Step 6: Final answer
    x = 1,834.58

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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.