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Finding the Fourth Proportional to 1,785.42, 2,464.11 and 1,039.80

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Solution

The fourth proportional to 1,785.42, 2,464.11 and 1,039.80 is: 1,435.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.42 : 2,464.11 = 1,039.80 : x
  2. Step 2: Convert to fraction form
    1,785.42/2,464.11 = 1,039.80/x
  3. Step 3: Cross multiply
    1,785.42x = 2,464.11 × 1,039.80
  4. Step 4: Simplify right side
    1,785.42x = 2,562,181.58
  5. Step 5: Solve for x
    x = 2,562,181.58/1,785.42
  6. Step 6: Final answer
    x = 1,435.06

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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.