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Finding the Fourth Proportional to 2,043.67, 3,064.02 and 656.23

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Solution

The fourth proportional to 2,043.67, 3,064.02 and 656.23 is: 983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,043.67 : 3,064.02 = 656.23 : x
  2. Step 2: Convert to fraction form
    2,043.67/3,064.02 = 656.23/x
  3. Step 3: Cross multiply
    2,043.67x = 3,064.02 × 656.23
  4. Step 4: Simplify right side
    2,043.67x = 2,010,701.84
  5. Step 5: Solve for x
    x = 2,010,701.84/2,043.67
  6. Step 6: Final answer
    x = 983.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.