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Finding the Fourth Proportional to 1,785.48, 2,464.08 and 1,039.68

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Solution

The fourth proportional to 1,785.48, 2,464.08 and 1,039.68 is: 1,434.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.48 : 2,464.08 = 1,039.68 : x
  2. Step 2: Convert to fraction form
    1,785.48/2,464.08 = 1,039.68/x
  3. Step 3: Cross multiply
    1,785.48x = 2,464.08 × 1,039.68
  4. Step 4: Simplify right side
    1,785.48x = 2,561,854.69
  5. Step 5: Solve for x
    x = 2,561,854.69/1,785.48
  6. Step 6: Final answer
    x = 1,434.83

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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.