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Finding the Fourth Proportional to 4,565.69, 6,848.53 and 1,102.94

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Solution

The fourth proportional to 4,565.69, 6,848.53 and 1,102.94 is: 1,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,565.69 : 6,848.53 = 1,102.94 : x
  2. Step 2: Convert to fraction form
    4,565.69/6,848.53 = 1,102.94/x
  3. Step 3: Cross multiply
    4,565.69x = 6,848.53 × 1,102.94
  4. Step 4: Simplify right side
    4,565.69x = 7,553,517.68
  5. Step 5: Solve for x
    x = 7,553,517.68/4,565.69
  6. Step 6: Final answer
    x = 1,654.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.