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Finding the Fourth Proportional to 2,043.58, 3,063.86 and 656.12

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Solution

The fourth proportional to 2,043.58, 3,063.86 and 656.12 is: 983.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.58 : 3,063.86 = 656.12 : x
  2. Step 2: Convert to fraction form
    2,043.58/3,063.86 = 656.12/x
  3. Step 3: Cross multiply
    2,043.58x = 3,063.86 × 656.12
  4. Step 4: Simplify right side
    2,043.58x = 2,010,259.82
  5. Step 5: Solve for x
    x = 2,010,259.82/2,043.58
  6. Step 6: Final answer
    x = 983.70

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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.