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Finding the Fourth Proportional to 1,784.93, 2,677.07 and 486.29

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Solution

The fourth proportional to 1,784.93, 2,677.07 and 486.29 is: 729.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.93 : 2,677.07 = 486.29 : x
  2. Step 2: Convert to fraction form
    1,784.93/2,677.07 = 486.29/x
  3. Step 3: Cross multiply
    1,784.93x = 2,677.07 × 486.29
  4. Step 4: Simplify right side
    1,784.93x = 1,301,816.55
  5. Step 5: Solve for x
    x = 1,301,816.55/1,784.93
  6. Step 6: Final answer
    x = 729.34

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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.