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Finding the Fourth Proportional to 3,089.67, 4,634.55 and 1,702.74

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Solution

The fourth proportional to 3,089.67, 4,634.55 and 1,702.74 is: 2,554.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,089.67 : 4,634.55 = 1,702.74 : x
  2. Step 2: Convert to fraction form
    3,089.67/4,634.55 = 1,702.74/x
  3. Step 3: Cross multiply
    3,089.67x = 4,634.55 × 1,702.74
  4. Step 4: Simplify right side
    3,089.67x = 7,891,451.05
  5. Step 5: Solve for x
    x = 7,891,451.05/3,089.67
  6. Step 6: Final answer
    x = 2,554.14

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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.