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Finding the Fourth Proportional to 1,800.64, 2,698.68 and 1,185.52

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Solution

The fourth proportional to 1,800.64, 2,698.68 and 1,185.52 is: 1,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.64 : 2,698.68 = 1,185.52 : x
  2. Step 2: Convert to fraction form
    1,800.64/2,698.68 = 1,185.52/x
  3. Step 3: Cross multiply
    1,800.64x = 2,698.68 × 1,185.52
  4. Step 4: Simplify right side
    1,800.64x = 3,199,339.11
  5. Step 5: Solve for x
    x = 3,199,339.11/1,800.64
  6. Step 6: Final answer
    x = 1,776.78

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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.