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Finding the Fourth Proportional to 4,562.91, 6,841.34 and 1,640.84

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Solution

The fourth proportional to 4,562.91, 6,841.34 and 1,640.84 is: 2,460.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,562.91 : 6,841.34 = 1,640.84 : x
  2. Step 2: Convert to fraction form
    4,562.91/6,841.34 = 1,640.84/x
  3. Step 3: Cross multiply
    4,562.91x = 6,841.34 × 1,640.84
  4. Step 4: Simplify right side
    4,562.91x = 11,225,501.91
  5. Step 5: Solve for x
    x = 11,225,501.91/4,562.91
  6. Step 6: Final answer
    x = 2,460.16

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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.