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Finding the Fourth Proportional to 4,510.84, 6,767.12 and 2,046.84

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Solution

The fourth proportional to 4,510.84, 6,767.12 and 2,046.84 is: 3,070.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.84 : 6,767.12 = 2,046.84 : x
  2. Step 2: Convert to fraction form
    4,510.84/6,767.12 = 2,046.84/x
  3. Step 3: Cross multiply
    4,510.84x = 6,767.12 × 2,046.84
  4. Step 4: Simplify right side
    4,510.84x = 13,851,211.90
  5. Step 5: Solve for x
    x = 13,851,211.90/4,510.84
  6. Step 6: Final answer
    x = 3,070.65

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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.