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Finding the Fourth Proportional to 1,785.66, 2,678.19 and 486.84

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Solution

The fourth proportional to 1,785.66, 2,678.19 and 486.84 is: 730.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.66 : 2,678.19 = 486.84 : x
  2. Step 2: Convert to fraction form
    1,785.66/2,678.19 = 486.84/x
  3. Step 3: Cross multiply
    1,785.66x = 2,678.19 × 486.84
  4. Step 4: Simplify right side
    1,785.66x = 1,303,850.02
  5. Step 5: Solve for x
    x = 1,303,850.02/1,785.66
  6. Step 6: Final answer
    x = 730.18

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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.