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Finding the Fourth Proportional to 1,784.90, 2,677.51 and 486.38

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Solution

The fourth proportional to 1,784.90, 2,677.51 and 486.38 is: 729.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.90 : 2,677.51 = 486.38 : x
  2. Step 2: Convert to fraction form
    1,784.90/2,677.51 = 486.38/x
  3. Step 3: Cross multiply
    1,784.90x = 2,677.51 × 486.38
  4. Step 4: Simplify right side
    1,784.90x = 1,302,287.31
  5. Step 5: Solve for x
    x = 1,302,287.31/1,784.90
  6. Step 6: Final answer
    x = 729.61

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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.