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Finding the Fourth Proportional to 1,785.69, 2,464.52 and 1,289.03

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Solution

The fourth proportional to 1,785.69, 2,464.52 and 1,289.03 is: 1,779.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.69 : 2,464.52 = 1,289.03 : x
  2. Step 2: Convert to fraction form
    1,785.69/2,464.52 = 1,289.03/x
  3. Step 3: Cross multiply
    1,785.69x = 2,464.52 × 1,289.03
  4. Step 4: Simplify right side
    1,785.69x = 3,176,821.45
  5. Step 5: Solve for x
    x = 3,176,821.45/1,785.69
  6. Step 6: Final answer
    x = 1,779.04

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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.