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Finding the Fourth Proportional to 1,784.65, 2,676.94 and 486.11

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Solution

The fourth proportional to 1,784.65, 2,676.94 and 486.11 is: 729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.65 : 2,676.94 = 486.11 : x
  2. Step 2: Convert to fraction form
    1,784.65/2,676.94 = 486.11/x
  3. Step 3: Cross multiply
    1,784.65x = 2,676.94 × 486.11
  4. Step 4: Simplify right side
    1,784.65x = 1,301,287.30
  5. Step 5: Solve for x
    x = 1,301,287.30/1,784.65
  6. Step 6: Final answer
    x = 729.16

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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.