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Finding the Fourth Proportional to 2,043.32, 3,064.89 and 656.63

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Solution

The fourth proportional to 2,043.32, 3,064.89 and 656.63 is: 984.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.32 : 3,064.89 = 656.63 : x
  2. Step 2: Convert to fraction form
    2,043.32/3,064.89 = 656.63/x
  3. Step 3: Cross multiply
    2,043.32x = 3,064.89 × 656.63
  4. Step 4: Simplify right side
    2,043.32x = 2,012,483.40
  5. Step 5: Solve for x
    x = 2,012,483.40/2,043.32
  6. Step 6: Final answer
    x = 984.91

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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.