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Finding the Fourth Proportional to 1,784.79, 2,463 and 1,086.16

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Solution

The fourth proportional to 1,784.79, 2,463 and 1,086.16 is: 1,498.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,784.79 : 2,463 = 1,086.16 : x
  2. Step 2: Convert to fraction form
    1,784.79/2,463 = 1,086.16/x
  3. Step 3: Cross multiply
    1,784.79x = 2,463 × 1,086.16
  4. Step 4: Simplify right side
    1,784.79x = 2,675,212.08
  5. Step 5: Solve for x
    x = 2,675,212.08/1,784.79
  6. Step 6: Final answer
    x = 1,498.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.